97733744640 has 1152 divisors, whose sum is σ = 416694620160. Its totient is φ = 21499084800.

The previous prime is 97733744623. The next prime is 97733744657. The reversal of 97733744640 is 4644733779.

97733744640 is a `hidden beast` number, since 97 + 73 + 3 + 7 + 446 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (97733744623) and next prime (97733744657).

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539965350 + ... + 539965530.

It is an arithmetic number, because the mean of its divisors is an integer number (361714080).

Almost surely, 2^97733744640 is an apocalyptic number.

97733744640 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 97733744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208347310080).

97733744640 is an abundant number, since it is smaller than the sum of its proper divisors (318960875520).

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

97733744640 is a wasteful number, since it uses less digits than its factorization.

97733744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 97733744640 in words is "ninety-seven billion, seven hundred thirty-three million, seven hundred forty-four thousand, six hundred forty".