973199614464 has 480 divisors, whose sum is σ = 3549844831104. Its totient is φ = 249309757440.

The previous prime is 973199614423. The next prime is 973199614487. The reversal of 973199614464 is 464416991379.

973199614464 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 9 + 9 + 614 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25882782 + ... + 25920354.

Almost surely, 2^973199614464 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 973199614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774922415552).

973199614464 is an abundant number, since it is smaller than the sum of its proper divisors (2576645216640).

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

973199614464 is a wasteful number, since it uses less digits than its factorization.

973199614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37688 (or 37669 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 973199614464 in words is "nine hundred seventy-three billion, one hundred ninety-nine million, six hundred fourteen thousand, four hundred sixty-four".