97640048352 has 768 divisors, whose sum is σ = 350890444800. Its totient is φ = 23482368000.

The previous prime is 97640048329. The next prime is 97640048377. The reversal of 97640048352 is 25384004679.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 621911058 + ... + 621911214.

It is an arithmetic number, because the mean of its divisors is an integer number (456888600).

Almost surely, 2^97640048352 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 97640048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175445222400).

97640048352 is an abundant number, since it is smaller than the sum of its proper divisors (253250396448).

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

97640048352 is a wasteful number, since it uses less digits than its factorization.

97640048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 97640048352 in words is "ninety-seven billion, six hundred forty million, forty-eight thousand, three hundred fifty-two".