634306646820 has 384 divisors, whose sum is σ = 2293125230592. Its totient is φ = 127194163200.

The previous prime is 634306646693. The next prime is 634306646863. The reversal of 634306646820 is 28646603436.

It is a happy number.

It is a super-2 number, since 2×634306646820² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 634306646820.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14915227 + ... + 14957693.

It is an arithmetic number, because the mean of its divisors is an integer number (5971680288).

Almost surely, 2^634306646820 is an apocalyptic number.

634306646820 is a gapful number since it is divisible by the number (60) 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 634306646820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146562615296).

634306646820 is an abundant number, since it is smaller than the sum of its proper divisors (1658818583772).

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

634306646820 is a wasteful number, since it uses less digits than its factorization.

634306646820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42611 (or 42609 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 634306646820 in words is "six hundred thirty-four billion, three hundred six million, six hundred forty-six thousand, eight hundred twenty".