469507927680 has 768 divisors, whose sum is σ = 1855975680000. Its totient is φ = 108257402880.

The previous prime is 469507927673. The next prime is 469507927709. The reversal of 469507927680 is 86729705964.

469507927680 is a `hidden beast` number, since 4 + 69 + 507 + 9 + 2 + 7 + 68 + 0 = 666.

It is a super-2 number, since 2×469507927680² (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 95 ways as a sum of consecutive naturals, for example, 289997911 + ... + 289999529.

It is an arithmetic number, because the mean of its divisors is an integer number (2416635000).

Almost surely, 2^469507927680 is an apocalyptic number.

469507927680 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 469507927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927987840000).

469507927680 is an abundant number, since it is smaller than the sum of its proper divisors (1386467752320).

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

469507927680 is a wasteful number, since it uses less digits than its factorization.

469507927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 469507927680 in words is "four hundred sixty-nine billion, five hundred seven million, nine hundred twenty-seven thousand, six hundred eighty".