10674460800 has 192 divisors, whose sum is σ = 39065877600. Its totient is φ = 2846499840.

The previous prime is 10674460799. The next prime is 10674460829. The reversal of 10674460800 is 806447601.

10674460800 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10674460800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24627 + ... + 148173.

Almost surely, 2^10674460800 is an apocalyptic number.

10674460800 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 10674460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532938800).

10674460800 is an abundant number, since it is smaller than the sum of its proper divisors (28391416800).

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

10674460800 is a wasteful number, since it uses less digits than its factorization.

10674460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123580 (or 123557 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10674460800 in words is "ten billion, six hundred seventy-four million, four hundred sixty thousand, eight hundred".