10670072400 has 180 divisors, whose sum is σ = 39876606588. Its totient is φ = 2626467840.

The previous prime is 10670072377. The next prime is 10670072401. The reversal of 10670072400 is 427007601.

It can be written as a sum of positive squares in 6 ways, for example, as 4446755856 + 6223316544 = 66684^2 + 78888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10670072400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10670072401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67197 + ... + 160796.

Almost surely, 2^10670072400 is an apocalyptic number.

10670072400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10670072400 is an abundant number, since it is smaller than the sum of its proper divisors (29206534188).

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

10670072400 is a wasteful number, since it uses less digits than its factorization.

10670072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228030 (or 228016 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10670072400 in words is "ten billion, six hundred seventy million, seventy-two thousand, four hundred".