4691972791296 has 1760 divisors, whose sum is σ = 18078852464640. Its totient is φ = 1179869773824.

The previous prime is 4691972791237. The next prime is 4691972791301. The reversal of 4691972791296 is 6921972791964.

4691972791296 is a `hidden beast` number, since 4 + 69 + 1 + 9 + 7 + 279 + 1 + 296 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23817120670 + ... + 23817120866.

It is an arithmetic number, because the mean of its divisors is an integer number (10272075264).

Almost surely, 2^{4691972791296} 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 4691972791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039426232320).

4691972791296 is an abundant number, since it is smaller than the sum of its proper divisors (13386879673344).

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

4691972791296 is a wasteful number, since it uses less digits than its factorization.

4691972791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 372 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 4691972791296 in words is "four trillion, six hundred ninety-one billion, nine hundred seventy-two million, seven hundred ninety-one thousand, two hundred ninety-six".