47776621132800 has 4224 divisors, whose sum is σ = 220114443202560. Its totient is φ = 10032906240000.

The previous prime is 47776621132777. The next prime is 47776621132831. The reversal of 47776621132800 is 823112667774.

47776621132800 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 6 + 621 + 1 + 3 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×47776621132800² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 473035852750 + ... + 473035852850.

Almost surely, 2^{47776621132800} is an apocalyptic number.

47776621132800 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 47776621132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110057221601280).

47776621132800 is an abundant number, since it is smaller than the sum of its proper divisors (172337822069760).

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

47776621132800 is a wasteful number, since it uses less digits than its factorization.

47776621132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 47776621132800 in words is "forty-seven trillion, seven hundred seventy-six billion, six hundred twenty-one million, one hundred thirty-two thousand, eight hundred".