47368755672 has 128 divisors (see below), whose sum is σ = 141925132800. Its totient is φ = 12888142848.

The previous prime is 47368755661. The next prime is 47368755727. The reversal of 47368755672 is 27655786374.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289063 + ... + 422249.

It is an arithmetic number, because the mean of its divisors is an integer number (1108790100).

Almost surely, 2^47368755672 is an apocalyptic number.

47368755672 is a gapful number since it is divisible by the number (42) 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 47368755672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70962566400).

47368755672 is an abundant number, since it is smaller than the sum of its proper divisors (94556377128).

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

47368755672 is a wasteful number, since it uses less digits than its factorization.

47368755672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133305 (or 133301 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 60.

The spelling of 47368755672 in words is "forty-seven billion, three hundred sixty-eight million, seven hundred fifty-five thousand, six hundred seventy-two".