974913600672 has 576 divisors, whose sum is σ = 3231484139520. Its totient is φ = 283573785600.

The previous prime is 974913600613. The next prime is 974913600673. The reversal of 974913600672 is 276006319479.

It is a happy number.

974913600672 is a `hidden beast` number, since 97 + 491 + 3 + 6 + 0 + 0 + 67 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (974913600673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2261980297 + ... + 2261980727.

It is an arithmetic number, because the mean of its divisors is an integer number (5610215520).

Almost surely, 2^974913600672 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 974913600672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615742069760).

974913600672 is an abundant number, since it is smaller than the sum of its proper divisors (2256570538848).

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

974913600672 is a wasteful number, since it uses less digits than its factorization.

974913600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 974913600672 in words is "nine hundred seventy-four billion, nine hundred thirteen million, six hundred thousand, six hundred seventy-two".