96774204290400 has 864 divisors, whose sum is σ = 428936354316288. Its totient is φ = 19983855513600.

The previous prime is 96774204290371. The next prime is 96774204290473. The reversal of 96774204290400 is 409240247769.

96774204290400 is a `hidden beast` number, since 9 + 6 + 7 + 7 + 4 + 204 + 29 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29223105 + ... + 32365695.

It is an arithmetic number, because the mean of its divisors is an integer number (496454113792).

Almost surely, 2^{96774204290400} is an apocalyptic number.

96774204290400 is a gapful number since it is divisible by the number (90) 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 96774204290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214468177158144).

96774204290400 is an abundant number, since it is smaller than the sum of its proper divisors (332162150025888).

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

96774204290400 is a wasteful number, since it uses less digits than its factorization.

96774204290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142684 (or 3142668 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 96774204290400 in words is "ninety-six trillion, seven hundred seventy-four billion, two hundred four million, two hundred ninety thousand, four hundred".