97694349840 has 240 divisors, whose sum is σ = 339361850880. Its totient is φ = 25160232960.

The previous prime is 97694349833. The next prime is 97694349881. The reversal of 97694349840 is 4894349679.

97694349840 = T₁ + T₂ + ... + T₈₃₆₈.

97694349840 is a `hidden beast` number, since 9 + 7 + 69 + 43 + 498 + 40 = 666.

97694349840 is a nontrivial binomial coefficient, being equal to C(8370, 3).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is the 8368-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11669176 + ... + 11677544.

It is an arithmetic number, because the mean of its divisors is an integer number (1414007712).

Almost surely, 2^97694349840 is an apocalyptic number.

97694349840 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 97694349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169680925440).

97694349840 is an abundant number, since it is smaller than the sum of its proper divisors (241667501040).

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

97694349840 is a wasteful number, since it uses less digits than its factorization.

97694349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 97694349840 in words is "ninety-seven billion, six hundred ninety-four million, three hundred forty-nine thousand, eight hundred forty".