47249702784 has 320 divisors, whose sum is σ = 146489666400. Its totient is φ = 15099678720.

The previous prime is 47249702711. The next prime is 47249702803. The reversal of 47249702784 is 48720794274.

47249702784 is a `hidden beast` number, since 4 + 72 + 497 + 0 + 2 + 7 + 84 = 666.

It is a super-4 number, since 4×47249702784⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47249702784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50211754 + ... + 50212694.

Almost surely, 2^47249702784 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 47249702784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73244833200).

47249702784 is an abundant number, since it is smaller than the sum of its proper divisors (99239963616).

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

47249702784 is a wasteful number, since it uses less digits than its factorization.

47249702784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 47249702784 in words is "forty-seven billion, two hundred forty-nine million, seven hundred two thousand, seven hundred eighty-four".