9974016864 has 768 divisors, whose sum is σ = 37594368000. Its totient is φ = 2508226560.

The previous prime is 9974016827. The next prime is 9974016901. The reversal of 9974016864 is 4686104799.

It is an interprime number because it is at equal distance from previous prime (9974016827) and next prime (9974016901).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9974016864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136630332 + ... + 136630404.

It is an arithmetic number, because the mean of its divisors is an integer number (48951000).

Almost surely, 2^9974016864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9974016864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184000).

9974016864 is an abundant number, since it is smaller than the sum of its proper divisors (27620351136).

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

9974016864 is a wasteful number, since it uses less digits than its factorization.

9974016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9974016864 is about 99869.9998197657. Note that the first 3 decimals coincide. The cubic root of 9974016864 is about 2152.5671059218.

The spelling of 9974016864 in words is "nine billion, nine hundred seventy-four million, sixteen thousand, eight hundred sixty-four".