97579067040 has 1920 divisors, whose sum is σ = 466202677248. Its totient is φ = 18632540160.

The previous prime is 97579067039. The next prime is 97579067063. The reversal of 97579067040 is 4076097579.

It is a happy number.

97579067040 is a `hidden beast` number, since 9 + 7 + 579 + 0 + 67 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 621522642 + ... + 621522798.

Almost surely, 2^97579067040 is an apocalyptic number.

97579067040 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 97579067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233101338624).

97579067040 is an abundant number, since it is smaller than the sum of its proper divisors (368623610208).

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

97579067040 is a wasteful number, since it uses less digits than its factorization.

97579067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 97579067040 in words is "ninety-seven billion, five hundred seventy-nine million, sixty-seven thousand, forty".