75625900646400 has 3360 divisors, whose sum is σ = 320458274357760. Its totient is φ = 17489744363520.

The previous prime is 75625900646341. The next prime is 75625900646519. The reversal of 75625900646400 is 464600952657.

75625900646400 is a `hidden beast` number, since 7 + 5 + 6 + 2 + 590 + 0 + 6 + 4 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 391844044704 + ... + 391844044896.

It is an arithmetic number, because the mean of its divisors is an integer number (95374486416).

Almost surely, 2^{75625900646400} 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 75625900646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160229137178880).

75625900646400 is an abundant number, since it is smaller than the sum of its proper divisors (244832373711360).

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

75625900646400 is a wasteful number, since it uses less digits than its factorization.

75625900646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 75625900646400 in words is "seventy-five trillion, six hundred twenty-five billion, nine hundred million, six hundred forty-six thousand, four hundred".