47977574400 has 1248 divisors, whose sum is σ = 209962196480. Its totient is φ = 10510663680.

The previous prime is 47977574353. The next prime is 47977574413. The reversal of 47977574400 is 447577974.

47977574400 is a `hidden beast` number, since 47 + 97 + 75 + 7 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 716083167 + ... + 716083233.

Almost surely, 2^47977574400 is an apocalyptic number.

47977574400 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 47977574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104981098240).

47977574400 is an abundant number, since it is smaller than the sum of its proper divisors (161984622080).

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

47977574400 is a wasteful number, since it uses less digits than its factorization.

47977574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

It can be divided in two parts, 47977574 and 400, that added together give a palindrome (47977974).

The spelling of 47977574400 in words is "forty-seven billion, nine hundred seventy-seven million, five hundred seventy-four thousand, four hundred".