634942543070400 has 2016 divisors, whose sum is σ = 2322624615843840. Its totient is φ = 151594426368000.

The previous prime is 634942543070389. The next prime is 634942543070477. The reversal of 634942543070400 is 4070345249436.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 368938141540 + ... + 368938143260.

Almost surely, 2^{634942543070400} is an apocalyptic number.

634942543070400 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 634942543070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161312307921920).

634942543070400 is an abundant number, since it is smaller than the sum of its proper divisors (1687682072773440).

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

634942543070400 is a wasteful number, since it uses less digits than its factorization.

634942543070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 634942543070400 in words is "six hundred thirty-four trillion, nine hundred forty-two billion, five hundred forty-three million, seventy thousand, four hundred".