47972373680 has 320 divisors, whose sum is σ = 144200770560. Its totient is φ = 14407372800.

The previous prime is 47972373623. The next prime is 47972373751. The reversal of 47972373680 is 8637327974.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24842315 + ... + 24844245.

It is an arithmetic number, because the mean of its divisors is an integer number (450627408).

Almost surely, 2^47972373680 is an apocalyptic number.

47972373680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47972373680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72100385280).

47972373680 is an abundant number, since it is smaller than the sum of its proper divisors (96228396880).

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

47972373680 is a wasteful number, since it uses less digits than its factorization.

47972373680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 56.

The spelling of 47972373680 in words is "forty-seven billion, nine hundred seventy-two million, three hundred seventy-three thousand, six hundred eighty".