97424078400 has 840 divisors, whose sum is σ = 401437181376. Its totient is φ = 22967193600.

The previous prime is 97424078383. The next prime is 97424078429. The reversal of 97424078400 is 487042479.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52746277 + ... + 52748123.

Almost surely, 2^97424078400 is an apocalyptic number.

97424078400 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 97424078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200718590688).

97424078400 is an abundant number, since it is smaller than the sum of its proper divisors (304013102976).

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

97424078400 is a wasteful number, since it uses less digits than its factorization.

97424078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 97424078400 in words is "ninety-seven billion, four hundred twenty-four million, seventy-eight thousand, four hundred".