465628939776 has 2880 divisors, whose sum is σ = 2084641574400. Its totient is φ = 101165137920.

The previous prime is 465628939759. The next prime is 465628939777. The reversal of 465628939776 is 677939826564.

465628939776 is a `hidden beast` number, since 46 + 56 + 2 + 89 + 397 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465628939777) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20244736501 + ... + 20244736523.

It is an arithmetic number, because the mean of its divisors is an integer number (723833880).

Almost surely, 2^465628939776 is an apocalyptic number.

465628939776 is a gapful number since it is divisible by the number (46) 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 465628939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042320787200).

465628939776 is an abundant number, since it is smaller than the sum of its proper divisors (1619012634624).

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

465628939776 is a wasteful number, since it uses less digits than its factorization.

465628939776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 465628939776 in words is "four hundred sixty-five billion, six hundred twenty-eight million, nine hundred thirty-nine thousand, seven hundred seventy-six".