634497864 has 288 divisors, whose sum is σ = 2190605760. Its totient is φ = 152127360.

The previous prime is 634497841. The next prime is 634497869. The reversal of 634497864 is 468794436.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634497869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48807522 + ... + 48807534.

It is an arithmetic number, because the mean of its divisors is an integer number (7606270).

Almost surely, 2^634497864 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 634497864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095302880).

634497864 is an abundant number, since it is smaller than the sum of its proper divisors (1556107896).

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

634497864 is a wasteful number, since it uses less digits than its factorization.

634497864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 634497864 is about 25189.2410366013. The cubic root of 634497864 is about 859.2971831405.

The spelling of 634497864 in words is "six hundred thirty-four million, four hundred ninety-seven thousand, eight hundred sixty-four".