634247420400 has 960 divisors, whose sum is σ = 2597323760640. Its totient is φ = 145494835200.

The previous prime is 634247420399. The next prime is 634247420489. The reversal of 634247420400 is 4024742436.

634247420400 is a `hidden beast` number, since 6 + 3 + 4 + 247 + 4 + 2 + 0 + 400 = 666.

634247420400 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265041604 + ... + 265043996.

It is an arithmetic number, because the mean of its divisors is an integer number (2705545584).

Almost surely, 2^634247420400 is an apocalyptic number.

634247420400 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 634247420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298661880320).

634247420400 is an abundant number, since it is smaller than the sum of its proper divisors (1963076340240).

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

634247420400 is a wasteful number, since it uses less digits than its factorization.

634247420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 634247420400 in words is "six hundred thirty-four billion, two hundred forty-seven million, four hundred twenty thousand, four hundred".