462034952064 has 768 divisors, whose sum is σ = 1768200192000. Its totient is φ = 117691564032.

The previous prime is 462034952023. The next prime is 462034952101. The reversal of 462034952064 is 460259430264.

462034952064 is a `hidden beast` number, since 4 + 6 + 20 + 3 + 49 + 520 + 64 = 666.

It is a congruent number.

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, 54693889 + ... + 54702335.

It is an arithmetic number, because the mean of its divisors is an integer number (2302344000).

Almost surely, 2^462034952064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462034952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884100096000).

462034952064 is an abundant number, since it is smaller than the sum of its proper divisors (1306165239936).

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

462034952064 is a wasteful number, since it uses less digits than its factorization.

462034952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 462034952064 in words is "four hundred sixty-two billion, thirty-four million, nine hundred fifty-two thousand, sixty-four".