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672377083488 = 2534111929127337
BaseRepresentation
bin10011100100011001100…
…11000001011001100000
32101021112010002211220000
421302030303001121200
542004012013132423
61232515154220000
766402062624145
oct11621463013140
92337463084800
10672377083488
1123a176375680
12aa389884600
134b5356c8a26
14247868723cc
1512753ec9843
hex9c8ccc1660

672377083488 has 960 divisors, whose sum is σ = 2374570598400. Its totient is φ = 184354652160.

The previous prime is 672377083487. The next prime is 672377083493. The reversal of 672377083488 is 884380773276.

672377083488 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 7 + 70 + 83 + 488 = 666.

It is a super-2 number, since 2×6723770834882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672377083487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1995184056 + ... + 1995184392.

It is an arithmetic number, because the mean of its divisors is an integer number (2473511040).

Almost surely, 2672377083488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672377083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187285299200).

672377083488 is an abundant number, since it is smaller than the sum of its proper divisors (1702193514912).

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

672377083488 is a wasteful number, since it uses less digits than its factorization.

672377083488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 672377083488 in words is "six hundred seventy-two billion, three hundred seventy-seven million, eighty-three thousand, four hundred eighty-eight".