97764406740 has 1152 divisors, whose sum is σ = 429445545984. Its totient is φ = 17335296000.

The previous prime is 97764406699. The next prime is 97764406781. The reversal of 97764406740 is 4760446779.

97764406740 = T₁ + T₂ + ... + T₈₃₇₀.

97764406740 is a `hidden beast` number, since 97 + 76 + 440 + 6 + 7 + 40 = 666.

97764406740 is a nontrivial binomial coefficient, being equal to C(8372, 3).

It is an interprime number because it is at equal distance from previous prime (97764406699) and next prime (97764406781).

It is a congruent number.

It is an unprimeable number.

It is the 8370-th tetrahedral number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128467960 + ... + 128468720.

It is an arithmetic number, because the mean of its divisors is an integer number (372782592).

Almost surely, 2^97764406740 is an apocalyptic number.

97764406740 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 97764406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214722772992).

97764406740 is an abundant number, since it is smaller than the sum of its proper divisors (331681139244).

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

97764406740 is a wasteful number, since it uses less digits than its factorization.

97764406740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 97764406740 in words is "ninety-seven billion, seven hundred sixty-four million, four hundred six thousand, seven hundred forty".