97790571648 has 1152 divisors, whose sum is σ = 391091500800. Its totient is φ = 23984916480.

The previous prime is 97790571643. The next prime is 97790571713. The reversal of 97790571648 is 84617509779.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (97790571643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318535911 + ... + 318536217.

It is an arithmetic number, because the mean of its divisors is an integer number (339489150).

Almost surely, 2^97790571648 is an apocalyptic number.

97790571648 is a gapful number since it is divisible by the number (98) 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 97790571648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195545750400).

97790571648 is an abundant number, since it is smaller than the sum of its proper divisors (293300929152).

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

97790571648 is a wasteful number, since it uses less digits than its factorization.

97790571648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 97790571648 in words is "ninety-seven billion, seven hundred ninety million, five hundred seventy-one thousand, six hundred forty-eight".