501333769800864 has 4608 divisors, whose sum is σ = 2219546404454400. Its totient is φ = 106233427722240.

The previous prime is 501333769800793. The next prime is 501333769800907. The reversal of 501333769800864 is 468008967333105.

501333769800864 is a `hidden beast` number, since 50 + 133 + 376 + 9 + 8 + 0 + 0 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 461208619329 + ... + 461208620415.

It is an arithmetic number, because the mean of its divisors is an integer number (481672396800).

Almost surely, 2^{501333769800864} is an apocalyptic number.

501333769800864 is a gapful number since it is divisible by the number (54) 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 501333769800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109773202227200).

501333769800864 is an abundant number, since it is smaller than the sum of its proper divisors (1718212634653536).

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

501333769800864 is a wasteful number, since it uses less digits than its factorization.

501333769800864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 501333769800864 in words is "five hundred one trillion, three hundred thirty-three billion, seven hundred sixty-nine million, eight hundred thousand, eight hundred sixty-four".