97740276480 has 1944 divisors, whose sum is σ = 456871208976. Its totient is φ = 19926466560.

The previous prime is 97740276461. The next prime is 97740276509. The reversal of 97740276480 is 8467204779.

97740276480 is a `hidden beast` number, since 97 + 7 + 4 + 0 + 2 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1844156134 + ... + 1844156186.

It is an arithmetic number, because the mean of its divisors is an integer number (235016054).

Almost surely, 2^97740276480 is an apocalyptic number.

97740276480 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 97740276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228435604488).

97740276480 is an abundant number, since it is smaller than the sum of its proper divisors (359130932496).

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

97740276480 is a wasteful number, since it uses less digits than its factorization.

97740276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 97740276480 in words is "ninety-seven billion, seven hundred forty million, two hundred seventy-six thousand, four hundred eighty".