97479849600 has 1536 divisors, whose sum is σ = 455328000000. Its totient is φ = 19826933760.

The previous prime is 97479849541. The next prime is 97479849611. The reversal of 97479849600 is 694897479.

97479849600 is a `hidden beast` number, since 9 + 74 + 79 + 8 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 195350151 + ... + 195350649.

It is an arithmetic number, because the mean of its divisors is an integer number (296437500).

Almost surely, 2^97479849600 is an apocalyptic number.

97479849600 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 97479849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664000000).

97479849600 is an abundant number, since it is smaller than the sum of its proper divisors (357848150400).

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

97479849600 is a wasteful number, since it uses less digits than its factorization.

97479849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 97479849600 in words is "ninety-seven billion, four hundred seventy-nine million, eight hundred forty-nine thousand, six hundred".