47076081002496 has 960 divisors, whose sum is σ = 175436624563200. Its totient is φ = 12245305393152.

The previous prime is 47076081002417. The next prime is 47076081002513. The reversal of 47076081002496 is 69420018067074.

47076081002496 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 608 + 1 + 0 + 0 + 24 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1101972625 + ... + 1102015343.

It is an arithmetic number, because the mean of its divisors is an integer number (182746483920).

Almost surely, 2^{47076081002496} 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 47076081002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87718312281600).

47076081002496 is an abundant number, since it is smaller than the sum of its proper divisors (128360543560704).

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

47076081002496 is a wasteful number, since it uses less digits than its factorization.

47076081002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42846 (or 42817 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47076081002496 in words is "forty-seven trillion, seventy-six billion, eighty-one million, two thousand, four hundred ninety-six".