464976965376 has 864 divisors, whose sum is σ = 1759587701760. Its totient is φ = 119760076800.

The previous prime is 464976965351. The next prime is 464976965393. The reversal of 464976965376 is 673569679464.

464976965376 is a `hidden beast` number, since 4 + 6 + 497 + 6 + 9 + 65 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510402361 + ... + 510403271.

It is an arithmetic number, because the mean of its divisors is an integer number (2036559840).

Almost surely, 2^464976965376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464976965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879793850880).

464976965376 is an abundant number, since it is smaller than the sum of its proper divisors (1294610736384).

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

464976965376 is a wasteful number, since it uses less digits than its factorization.

464976965376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1071 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 464976965376 in words is "four hundred sixty-four billion, nine hundred seventy-six million, nine hundred sixty-five thousand, three hundred seventy-six".