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620230673664 = 28337471072549
BaseRepresentation
bin10010000011010001010…
…00010000010100000000
32012021220221102202112000
421001220220100110000
540130213023024124
61152532515504000
762544615511620
oct11015050202400
92167827382460
10620230673664
1121a047056108
12a0255bb8000
134664506bc24
142203b054880
1511200ea16c9
hex9068a10500

620230673664 has 576 divisors, whose sum is σ = 2161603584000. Its totient is φ = 171750039552.

The previous prime is 620230673663. The next prime is 620230673701. The reversal of 620230673664 is 466376032026.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×6202306736643 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620230673663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243321862 + ... + 243324410.

It is an arithmetic number, because the mean of its divisors is an integer number (3752784000).

Almost surely, 2620230673664 is an apocalyptic number.

620230673664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620230673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080801792000).

620230673664 is an abundant number, since it is smaller than the sum of its proper divisors (1541372910336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

620230673664 is a wasteful number, since it uses less digits than its factorization.

620230673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 620230673664 in words is "six hundred twenty billion, two hundred thirty million, six hundred seventy-three thousand, six hundred sixty-four".