2973686431968 has 72 divisors (see below), whose sum is σ = 9664480910448. Its totient is φ = 849624694272.

The previous prime is 2973686431907. The next prime is 2973686432011. The reversal of 2973686431968 is 8691346863792.

2973686431968 is a `hidden beast` number, since 2 + 9 + 73 + 68 + 6 + 431 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2973686431896 and 2973686431905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737519421 + ... + 737523452.

It is an arithmetic number, because the mean of its divisors is an integer number (134228901534).

Almost surely, 2^{2973686431968} is an apocalyptic number.

2973686431968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2973686431968 is an abundant number, since it is smaller than the sum of its proper divisors (6690794478480).

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

2973686431968 is a wasteful number, since it uses less digits than its factorization.

2973686431968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475042896 (or 1475042885 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 2973686431968 in words is "two trillion, nine hundred seventy-three billion, six hundred eighty-six million, four hundred thirty-one thousand, nine hundred sixty-eight".