464620636113040 has 160 divisors (see below), whose sum is σ = 1240702465674240. Its totient is φ = 160030754496000.

The previous prime is 464620636113001. The next prime is 464620636113041. The reversal of 464620636113040 is 40311636026464.

It is not an unprimeable number, because it can be changed into a prime (464620636113041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86872167 + ... + 92065273.

It is an arithmetic number, because the mean of its divisors is an integer number (7754390410464).

Almost surely, 2^{464620636113040} is an apocalyptic number.

464620636113040 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 464620636113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620351232837120).

464620636113040 is an abundant number, since it is smaller than the sum of its proper divisors (776081829561200).

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

464620636113040 is a wasteful number, since it uses less digits than its factorization.

464620636113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198501 (or 5198495 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 464620636113040 in words is "four hundred sixty-four trillion, six hundred twenty billion, six hundred thirty-six million, one hundred thirteen thousand, forty".