978892646400 has 1728 divisors, whose sum is σ = 3959099726400. Its totient is φ = 238878720000.

The previous prime is 978892646363. The next prime is 978892646461. The reversal of 978892646400 is 4646298879.

978892646400 is a `hidden beast` number, since 9 + 7 + 88 + 92 + 6 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 9692006350 + ... + 9692006450.

It is an arithmetic number, because the mean of its divisors is an integer number (2291145675).

Almost surely, 2^978892646400 is an apocalyptic number.

978892646400 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 978892646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979549863200).

978892646400 is an abundant number, since it is smaller than the sum of its proper divisors (2980207080000).

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

978892646400 is a wasteful number, since it uses less digits than its factorization.

978892646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 978892646400 in words is "nine hundred seventy-eight billion, eight hundred ninety-two million, six hundred forty-six thousand, four hundred".