63971054400 has 1344 divisors, whose sum is σ = 265594429440. Its totient is φ = 13381632000.

The previous prime is 63971054387. The next prime is 63971054401. The reversal of 63971054400 is 445017936.

63971054400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63971054401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2063582385 + ... + 2063582415.

Almost surely, 2^63971054400 is an apocalyptic number.

63971054400 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 63971054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132797214720).

63971054400 is an abundant number, since it is smaller than the sum of its proper divisors (201623375040).

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

63971054400 is a wasteful number, since it uses less digits than its factorization.

63971054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 63971054400 in words is "sixty-three billion, nine hundred seventy-one million, fifty-four thousand, four hundred".