47635402752 has 728 divisors, whose sum is σ = 170174119104. Its totient is φ = 13042778112.

The previous prime is 47635402723. The next prime is 47635402753. The reversal of 47635402752 is 25720453674.

47635402752 is a `hidden beast` number, since 4 + 7 + 635 + 4 + 0 + 2 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47635402698 and 47635402707.

It is not an unprimeable number, because it can be changed into a prime (47635402753) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 898781158 + ... + 898781210.

Almost surely, 2^47635402752 is an apocalyptic number.

47635402752 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 47635402752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85087059552).

47635402752 is an abundant number, since it is smaller than the sum of its proper divisors (122538716352).

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

47635402752 is an frugal number, since it uses more digits than its factorization.

47635402752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 47635402752 in words is "forty-seven billion, six hundred thirty-five million, four hundred two thousand, seven hundred fifty-two".