464675936035320 has 512 divisors, whose sum is σ = 1606220065382400. Its totient is φ = 119366543462400.

The previous prime is 464675936035301. The next prime is 464675936035327. The reversal of 464675936035320 is 23530639576464.

464675936035320 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 7 + 5 + 93 + 6 + 0 + 3 + 532 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464675936035327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35907260050 + ... + 35907272990.

It is an arithmetic number, because the mean of its divisors is an integer number (3137148565200).

Almost surely, 2^{464675936035320} is an apocalyptic number.

464675936035320 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 464675936035320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803110032691200).

464675936035320 is an abundant number, since it is smaller than the sum of its proper divisors (1141544129347080).

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

464675936035320 is a wasteful number, since it uses less digits than its factorization.

464675936035320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17828 (or 17818 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 63.

The spelling of 464675936035320 in words is "four hundred sixty-four trillion, six hundred seventy-five billion, nine hundred thirty-six million, thirty-five thousand, three hundred twenty".