63897254400 has 720 divisors, whose sum is σ = 254226630240. Its totient is φ = 14089420800.

The previous prime is 63897254329. The next prime is 63897254419. The reversal of 63897254400 is 445279836.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 63897254400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54565815 + ... + 54566985.

It is an arithmetic number, because the mean of its divisors is an integer number (353092542).

Almost surely, 2^63897254400 is an apocalyptic number.

63897254400 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 63897254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127113315120).

63897254400 is an abundant number, since it is smaller than the sum of its proper divisors (190329375840).

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

63897254400 is a wasteful number, since it uses less digits than its factorization.

63897254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 63897254400 in words is "sixty-three billion, eight hundred ninety-seven million, two hundred fifty-four thousand, four hundred".