47672349312 has 192 divisors, whose sum is σ = 147592808640. Its totient is φ = 13593968640.

The previous prime is 47672349299. The next prime is 47672349353. The reversal of 47672349312 is 21394327674.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10854637 + ... + 10859027.

It is an arithmetic number, because the mean of its divisors is an integer number (768712545).

Almost surely, 2^47672349312 is an apocalyptic number.

47672349312 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 47672349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73796404320).

47672349312 is an abundant number, since it is smaller than the sum of its proper divisors (99920459328).

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

47672349312 is a wasteful number, since it uses less digits than its factorization.

47672349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4980 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 47672349312 in words is "forty-seven billion, six hundred seventy-two million, three hundred forty-nine thousand, three hundred twelve".