63401120640 has 1152 divisors, whose sum is σ = 268360335360. Its totient is φ = 13658112000.

The previous prime is 63401120617. The next prime is 63401120647. The reversal of 63401120640 is 4602110436.

63401120640 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 1 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63401120647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331942945 + ... + 331943135.

It is an arithmetic number, because the mean of its divisors is an integer number (232951680).

Almost surely, 2^63401120640 is an apocalyptic number.

63401120640 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 63401120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134180167680).

63401120640 is an abundant number, since it is smaller than the sum of its proper divisors (204959214720).

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

63401120640 is a wasteful number, since it uses less digits than its factorization.

63401120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

It can be divided in two parts, 63401 and 120640, that added together give a square (184041 = 429²).

The spelling of 63401120640 in words is "sixty-three billion, four hundred one million, one hundred twenty thousand, six hundred forty".