467077387776 has 320 divisors, whose sum is σ = 1333939622400. Its totient is φ = 144878469120.

The previous prime is 467077387757. The next prime is 467077387807. The reversal of 467077387776 is 677783770764.

It is a super-2 number, since 2×467077387776² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 467077387776.

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, 530166856 + ... + 530167736.

It is an arithmetic number, because the mean of its divisors is an integer number (4168561320).

Almost surely, 2^467077387776 is an apocalyptic number.

467077387776 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 467077387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666969811200).

467077387776 is an abundant number, since it is smaller than the sum of its proper divisors (866862234624).

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

467077387776 is a wasteful number, since it uses less digits than its factorization.

467077387776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 406594944, while the sum is 69.

The spelling of 467077387776 in words is "four hundred sixty-seven billion, seventy-seven million, three hundred eighty-seven thousand, seven hundred seventy-six".