465913136048640 has 640 divisors, whose sum is σ = 1869744997232640. Its totient is φ = 96502957867008.

The previous prime is 465913136048609. The next prime is 465913136048641. The reversal of 465913136048640 is 46840631319564.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (465913136048641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13577172 + ... + 33409068.

It is an arithmetic number, because the mean of its divisors is an integer number (2921476558176).

Almost surely, 2^{465913136048640} is an apocalyptic number.

465913136048640 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 465913136048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934872498616320).

465913136048640 is an abundant number, since it is smaller than the sum of its proper divisors (1403831861184000).

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

465913136048640 is a wasteful number, since it uses less digits than its factorization.

465913136048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19831972 (or 19831956 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 465913136048640 in words is "four hundred sixty-five trillion, nine hundred thirteen billion, one hundred thirty-six million, forty-eight thousand, six hundred forty".