97759545408 has 672 divisors, whose sum is σ = 353019197440. Its totient is φ = 26202009600.

The previous prime is 97759545353. The next prime is 97759545409. The reversal of 97759545408 is 80454595779.

97759545408 is a `hidden beast` number, since 97 + 7 + 5 + 95 + 454 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (97759545409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312330660 + ... + 312330972.

Almost surely, 2^97759545408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97759545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176509598720).

97759545408 is an abundant number, since it is smaller than the sum of its proper divisors (255259652032).

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

97759545408 is a wasteful number, since it uses less digits than its factorization.

97759545408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 97759545408 in words is "ninety-seven billion, seven hundred fifty-nine million, five hundred forty-five thousand, four hundred eight".