47377665054720 has 4608 divisors, whose sum is σ = 238862177648640. Its totient is φ = 8681808199680.

The previous prime is 47377665054649. The next prime is 47377665054809. The reversal of 47377665054720 is 2745056677374.

47377665054720 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 7 + 6 + 65 + 0 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57288590947 + ... + 57288591773.

It is an arithmetic number, because the mean of its divisors is an integer number (51836410080).

Almost surely, 2^{47377665054720} is an apocalyptic number.

47377665054720 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 47377665054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119431088824320).

47377665054720 is an abundant number, since it is smaller than the sum of its proper divisors (191484512593920).

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

47377665054720 is a wasteful number, since it uses less digits than its factorization.

47377665054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 63.

The spelling of 47377665054720 in words is "forty-seven trillion, three hundred seventy-seven billion, six hundred sixty-five million, fifty-four thousand, seven hundred twenty".