47729580687360 has 2880 divisors, whose sum is σ = 210636048430080. Its totient is φ = 10216365096960.

The previous prime is 47729580687233. The next prime is 47729580687391. The reversal of 47729580687360 is 6378608592774.

47729580687360 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 9 + 580 + 6 + 8 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×47729580687360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2075199160309 + ... + 2075199160331.

It is an arithmetic number, because the mean of its divisors is an integer number (73137516816).

Almost surely, 2^{47729580687360} is an apocalyptic number.

47729580687360 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 47729580687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105318024215040).

47729580687360 is an abundant number, since it is smaller than the sum of its proper divisors (162906467742720).

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

47729580687360 is an frugal number, since it uses more digits than its factorization.

47729580687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 47729580687360 in words is "forty-seven trillion, seven hundred twenty-nine billion, five hundred eighty million, six hundred eighty-seven thousand, three hundred sixty".