10673502008400 has 4320 divisors, whose sum is σ = 52967343206400. Its totient is φ = 2026176768000.

The previous prime is 10673502008371. The next prime is 10673502008437. The reversal of 10673502008400 is 480020537601.

10673502008400 is a `hidden beast` number, since 1 + 0 + 6 + 73 + 502 + 0 + 0 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×10673502008400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 37715554659 + ... + 37715554941.

Almost surely, 2^{10673502008400} is an apocalyptic number.

10673502008400 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 10673502008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26483671603200).

10673502008400 is an abundant number, since it is smaller than the sum of its proper divisors (42293841198000).

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

10673502008400 is a wasteful number, since it uses less digits than its factorization.

10673502008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10673502008400 in words is "ten trillion, six hundred seventy-three billion, five hundred two million, eight thousand, four hundred".