476617138121760 has 48 divisors (see below), whose sum is σ = 1501343985085056. Its totient is φ = 127097903499008.

The previous prime is 476617138121617. The next prime is 476617138121777. The reversal of 476617138121760 is 67121831716674.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 476617138121694 and 476617138121703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496476185064 + ... + 496476186023.

It is an arithmetic number, because the mean of its divisors is an integer number (31277999689272).

Almost surely, 2^{476617138121760} is an apocalyptic number.

476617138121760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476617138121760 is an abundant number, since it is smaller than the sum of its proper divisors (1024726846963296).

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

476617138121760 is a wasteful number, since it uses less digits than its factorization.

476617138121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992952371105 (or 992952371097 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 476617138121760 in words is "four hundred seventy-six trillion, six hundred seventeen billion, one hundred thirty-eight million, one hundred twenty-one thousand, seven hundred sixty".