968640854400 has 1536 divisors, whose sum is σ = 3874841280000. Its totient is φ = 235534417920.

The previous prime is 968640854399. The next prime is 968640854479. The reversal of 968640854400 is 4458046869.

968640854400 is a `hidden beast` number, since 9 + 6 + 86 + 40 + 85 + 440 + 0 = 666.

968640854400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7070371132 + ... + 7070371268.

It is an arithmetic number, because the mean of its divisors is an integer number (2522683125).

Almost surely, 2^968640854400 is an apocalyptic number.

968640854400 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 968640854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937420640000).

968640854400 is an abundant number, since it is smaller than the sum of its proper divisors (2906200425600).

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

968640854400 is a wasteful number, since it uses less digits than its factorization.

968640854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 968640854400 in words is "nine hundred sixty-eight billion, six hundred forty million, eight hundred fifty-four thousand, four hundred".