462967794080 has 192 divisors, whose sum is σ = 1202255695872. Its totient is φ = 167076848640.

The previous prime is 462967794077. The next prime is 462967794161. The reversal of 462967794080 is 80497769264.

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, 348882377 + ... + 348883703.

It is an arithmetic number, because the mean of its divisors is an integer number (6261748416).

Almost surely, 2^462967794080 is an apocalyptic number.

462967794080 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 462967794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601127847936).

462967794080 is an abundant number, since it is smaller than the sum of its proper divisors (739287901792).

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

462967794080 is a wasteful number, since it uses less digits than its factorization.

462967794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 62.

The spelling of 462967794080 in words is "four hundred sixty-two billion, nine hundred sixty-seven million, seven hundred ninety-four thousand, eighty".