63905084006400 has 4032 divisors, whose sum is σ = 297157678691328. Its totient is φ = 13254902415360.

The previous prime is 63905084006377. The next prime is 63905084006453. The reversal of 63905084006400 is 460048050936.

63905084006400 is a `hidden beast` number, since 63 + 9 + 0 + 508 + 40 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 466460467132 + ... + 466460467268.

It is an arithmetic number, because the mean of its divisors is an integer number (73699821104).

Almost surely, 2^{63905084006400} is an apocalyptic number.

63905084006400 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 63905084006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148578839345664).

63905084006400 is an abundant number, since it is smaller than the sum of its proper divisors (233252594684928).

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

63905084006400 is a wasteful number, since it uses less digits than its factorization.

63905084006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 63905084006400 in words is "sixty-three trillion, nine hundred five billion, eighty-four million, six thousand, four hundred".