634511393880 has 1536 divisors, whose sum is σ = 2746856448000. Its totient is φ = 115378421760.

The previous prime is 634511393839. The next prime is 634511393891. The reversal of 634511393880 is 88393115436.

634511393880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 765393306 + ... + 765394134.

It is an arithmetic number, because the mean of its divisors is an integer number (1788318000).

Almost surely, 2^634511393880 is an apocalyptic number.

634511393880 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 634511393880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373428224000).

634511393880 is an abundant number, since it is smaller than the sum of its proper divisors (2112345054120).

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

634511393880 is a wasteful number, since it uses less digits than its factorization.

634511393880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 634511393880 in words is "six hundred thirty-four billion, five hundred eleven million, three hundred ninety-three thousand, eight hundred eighty".