97408396800 has 1680 divisors, whose sum is σ = 430921825488. Its totient is φ = 21499084800.

The previous prime is 97408396783. The next prime is 97408396817. The reversal of 97408396800 is 869380479.

It is an interprime number because it is at equal distance from previous prime (97408396783) and next prime (97408396817).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1334361564 + ... + 1334361636.

Almost surely, 2^97408396800 is an apocalyptic number.

97408396800 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 97408396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460912744).

97408396800 is an abundant number, since it is smaller than the sum of its proper divisors (333513428688).

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

97408396800 is a wasteful number, since it uses less digits than its factorization.

97408396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 97408396800 in words is "ninety-seven billion, four hundred eight million, three hundred ninety-six thousand, eight hundred".