47659622400 has 1260 divisors, whose sum is σ = 202424973102. Its totient is φ = 11041505280.

The previous prime is 47659622399. The next prime is 47659622419. The reversal of 47659622400 is 422695674.

It can be written as a sum of positive squares in 9 ways, for example, as 2985984 + 47656636416 = 1728^2 + 218304^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2803507192 + ... + 2803507208.

Almost surely, 2^47659622400 is an apocalyptic number.

47659622400 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 47659622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101212486551).

47659622400 is an abundant number, since it is smaller than the sum of its proper divisors (154765350702).

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

47659622400 is a wasteful number, since it uses less digits than its factorization.

47659622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47659622400 in words is "forty-seven billion, six hundred fifty-nine million, six hundred twenty-two thousand, four hundred".