7976925473400 has 1920 divisors, whose sum is σ = 32506611318720. Its totient is φ = 1802698260480.

The previous prime is 7976925473399. The next prime is 7976925473467. The reversal of 7976925473400 is 43745296797.

7976925473400 is a `hidden beast` number, since 7 + 9 + 76 + 92 + 5 + 4 + 73 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 46109395714 + ... + 46109395886.

Almost surely, 2^{7976925473400} 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 7976925473400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253305659360).

7976925473400 is an abundant number, since it is smaller than the sum of its proper divisors (24529685845320).

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

7976925473400 is a wasteful number, since it uses less digits than its factorization.

7976925473400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 7976925473400 in words is "seven trillion, nine hundred seventy-six billion, nine hundred twenty-five million, four hundred seventy-three thousand, four hundred".