47282625600 has 672 divisors, whose sum is σ = 184927378176. Its totient is φ = 10351411200.

The previous prime is 47282625581. The next prime is 47282625601. The reversal of 47282625600 is 652628274.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (47282625601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90753340 + ... + 90753860.

Almost surely, 2^47282625600 is an apocalyptic number.

47282625600 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 47282625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92463689088).

47282625600 is an abundant number, since it is smaller than the sum of its proper divisors (137644752576).

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

47282625600 is a wasteful number, since it uses less digits than its factorization.

47282625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 47282625600 in words is "forty-seven billion, two hundred eighty-two million, six hundred twenty-five thousand, six hundred".