97478784000 has 1056 divisors, whose sum is σ = 396135177984. Its totient is φ = 22870425600.

The previous prime is 97478783981. The next prime is 97478784017. The reversal of 97478784000 is 48787479.

97478784000 is a `hidden beast` number, since 97 + 478 + 7 + 84 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×97478784000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344447859 + ... + 344448141.

Almost surely, 2^97478784000 is an apocalyptic number.

97478784000 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 97478784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198067588992).

97478784000 is an abundant number, since it is smaller than the sum of its proper divisors (298656393984).

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

97478784000 is a wasteful number, since it uses less digits than its factorization.

97478784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 97478784000 in words is "ninety-seven billion, four hundred seventy-eight million, seven hundred eighty-four thousand".