634467778560 has 1296 divisors, whose sum is σ = 2784738797568. Its totient is φ = 130799370240.

The previous prime is 634467778543. The next prime is 634467778589. The reversal of 634467778560 is 65877764436.

634467778560 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 67 + 7 + 7 + 8 + 560 = 666.

It is a super-2 number, since 2×634467778560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4995809217 + ... + 4995809343.

It is an arithmetic number, because the mean of its divisors is an integer number (2148718208).

Almost surely, 2^634467778560 is an apocalyptic number.

634467778560 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 634467778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392369398784).

634467778560 is an abundant number, since it is smaller than the sum of its proper divisors (2150271019008).

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

634467778560 is a wasteful number, since it uses less digits than its factorization.

634467778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 634467778560 in words is "six hundred thirty-four billion, four hundred sixty-seven million, seven hundred seventy-eight thousand, five hundred sixty".