620724358800 has 1080 divisors, whose sum is σ = 2782090756224. Its totient is φ = 125252075520.

The previous prime is 620724358789. The next prime is 620724358829. The reversal of 620724358800 is 8853427026.

620724358800 is a `hidden beast` number, since 6 + 20 + 7 + 2 + 43 + 588 + 0 + 0 = 666.

It is a super-2 number, since 2×620724358800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 97949232 + ... + 97955568.

Almost surely, 2^620724358800 is an apocalyptic number.

620724358800 is a gapful number since it is divisible by the number (60) 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 620724358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391045378112).

620724358800 is an abundant number, since it is smaller than the sum of its proper divisors (2161366397424).

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

620724358800 is a wasteful number, since it uses less digits than its factorization.

620724358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 620724358800 in words is "six hundred twenty billion, seven hundred twenty-four million, three hundred fifty-eight thousand, eight hundred".