464545515527520 has 192 divisors, whose sum is σ = 1672646087863296. Its totient is φ = 106163912632320.

The previous prime is 464545515527503. The next prime is 464545515527659. The reversal of 464545515527520 is 25725515545464.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8251350 + ... + 31578090.

It is an arithmetic number, because the mean of its divisors is an integer number (8711698374288).

Almost surely, 2^{464545515527520} is an apocalyptic number.

464545515527520 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 464545515527520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836323043931648).

464545515527520 is an abundant number, since it is smaller than the sum of its proper divisors (1208100572335776).

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

464545515527520 is a wasteful number, since it uses less digits than its factorization.

464545515527520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23332693 (or 23332685 counting only the distinct ones).

The product of its (nonzero) digits is 168000000, while the sum is 60.

The spelling of 464545515527520 in words is "four hundred sixty-four trillion, five hundred forty-five billion, five hundred fifteen million, five hundred twenty-seven thousand, five hundred twenty".