47486930400 has 720 divisors, whose sum is σ = 213165669024. Its totient is φ = 10017976320.

The previous prime is 47486930389. The next prime is 47486930431. The reversal of 47486930400 is 403968474.

47486930400 is a `hidden beast` number, since 47 + 486 + 93 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5892774 + ... + 5900826.

Almost surely, 2^47486930400 is an apocalyptic number.

47486930400 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 47486930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106582834512).

47486930400 is an abundant number, since it is smaller than the sum of its proper divisors (165678738624).

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

47486930400 is a wasteful number, since it uses less digits than its factorization.

47486930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8105 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47486930400 in words is "forty-seven billion, four hundred eighty-six million, nine hundred thirty thousand, four hundred".