47200762920960 has 2856 divisors, whose sum is σ = 197548348943232. Its totient is φ = 10790948044800.

The previous prime is 47200762920959. The next prime is 47200762921001. The reversal of 47200762920960 is 6902926700274.

47200762920960 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 0 + 7 + 629 + 2 + 0 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47200762920897 and 47200762920906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 664799477725 + ... + 664799477795.

Almost surely, 2^{47200762920960} is an apocalyptic number.

47200762920960 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 47200762920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98774174471616).

47200762920960 is an abundant number, since it is smaller than the sum of its proper divisors (150347586022272).

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

47200762920960 is an frugal number, since it uses more digits than its factorization.

47200762920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47200762920960 in words is "forty-seven trillion, two hundred billion, seven hundred sixty-two million, nine hundred twenty thousand, nine hundred sixty".