97634782080 has 640 divisors, whose sum is σ = 383565663360. Its totient is φ = 23470387200.

The previous prime is 97634782039. The next prime is 97634782099. The reversal of 97634782080 is 8028743679.

97634782080 is a `hidden beast` number, since 9 + 76 + 3 + 478 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74700787 + ... + 74702093.

It is an arithmetic number, because the mean of its divisors is an integer number (599321349).

Almost surely, 2^97634782080 is an apocalyptic number.

97634782080 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 97634782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191782831680).

97634782080 is an abundant number, since it is smaller than the sum of its proper divisors (285930881280).

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

97634782080 is a wasteful number, since it uses less digits than its factorization.

97634782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 97634782080 in words is "ninety-seven billion, six hundred thirty-four million, seven hundred eighty-two thousand, eighty".