97767492480 has 768 divisors, whose sum is σ = 413172264960. Its totient is φ = 21618524160.

The previous prime is 97767492469. The next prime is 97767492491. The reversal of 97767492480 is 8429476779.

97767492480 is a `hidden beast` number, since 9 + 7 + 7 + 67 + 4 + 92 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (97767492469) and next prime (97767492491).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33746392 + ... + 33749288.

It is an arithmetic number, because the mean of its divisors is an integer number (537984720).

Almost surely, 2^97767492480 is an apocalyptic number.

97767492480 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 97767492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206586132480).

97767492480 is an abundant number, since it is smaller than the sum of its proper divisors (315404772480).

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

97767492480 is a wasteful number, since it uses less digits than its factorization.

97767492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 97767492480 in words is "ninety-seven billion, seven hundred sixty-seven million, four hundred ninety-two thousand, four hundred eighty".