10607673600 has 864 divisors, whose sum is σ = 43249731840. Its totient is φ = 2530344960.

The previous prime is 10607673599. The next prime is 10607673607. The reversal of 10607673600 is 637670601.

10607673600 is a `hidden beast` number, since 10 + 607 + 6 + 7 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10607673600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (10607673607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67564722 + ... + 67564878.

It is an arithmetic number, because the mean of its divisors is an integer number (50057560).

Almost surely, 2^10607673600 is an apocalyptic number.

10607673600 is a gapful number since it is divisible by the number (10) 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 10607673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21624865920).

10607673600 is an abundant number, since it is smaller than the sum of its proper divisors (32642058240).

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

10607673600 is a wasteful number, since it uses less digits than its factorization.

10607673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 10607673600 in words is "ten billion, six hundred seven million, six hundred seventy-three thousand, six hundred".