464879876040 has 192 divisors, whose sum is σ = 1534876387200. Its totient is φ = 122004734976.

The previous prime is 464879876039. The next prime is 464879876051. The reversal of 464879876040 is 40678978464.

464879876040 is a `hidden beast` number, since 4 + 6 + 487 + 98 + 7 + 60 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 681821²-1.

It is a super-2 number, since 2×464879876040² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12253821 + ... + 12291699.

It is an arithmetic number, because the mean of its divisors is an integer number (7994147850).

Almost surely, 2^464879876040 is an apocalyptic number.

464879876040 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 464879876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767438193600).

464879876040 is an abundant number, since it is smaller than the sum of its proper divisors (1069996511160).

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

464879876040 is a wasteful number, since it uses less digits than its factorization.

464879876040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38436 (or 38429 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 464879876040 in words is "four hundred sixty-four billion, eight hundred seventy-nine million, eight hundred seventy-six thousand, forty".