47379236486400 has 4860 divisors, whose sum is σ = 227679425128428. Its totient is φ = 9340635709440.

The previous prime is 47379236486363. The next prime is 47379236486423. The reversal of 47379236486400 is 468463297374.

47379236486400 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 92 + 3 + 64 + 86 + 400 = 666.

47379236486400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4225688699904 + 43153547786496 = 2055648^2 + 6569136^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 649030636764 + ... + 649030636836.

Almost surely, 2^{47379236486400} is an apocalyptic number.

47379236486400 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 47379236486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113839712564214).

47379236486400 is an abundant number, since it is smaller than the sum of its proper divisors (180300188642028).

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

47379236486400 is a wasteful number, since it uses less digits than its factorization.

47379236486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 47379236486400 in words is "forty-seven trillion, three hundred seventy-nine billion, two hundred thirty-six million, four hundred eighty-six thousand, four hundred".