47976192000 has 768 divisors, whose sum is σ = 193792435200. Its totient is φ = 11612160000.

The previous prime is 47976191999. The next prime is 47976192101. The reversal of 47976192000 is 29167974.

47976192000 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 619 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 76031685 + ... + 76032315.

It is an arithmetic number, because the mean of its divisors is an integer number (252333900).

Almost surely, 2^47976192000 is an apocalyptic number.

47976192000 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 47976192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96896217600).

47976192000 is an abundant number, since it is smaller than the sum of its proper divisors (145816243200).

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

47976192000 is a wasteful number, since it uses less digits than its factorization.

47976192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 47976192000 in words is "forty-seven billion, nine hundred seventy-six million, one hundred ninety-two thousand".