63745920000 has 1760 divisors, whose sum is σ = 294673674240. Its totient is φ = 13271040000.

The previous prime is 63745919953. The next prime is 63745920019. The reversal of 63745920000 is 2954736.

63745920000 is a `hidden beast` number, since 63 + 7 + 4 + 592 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2056319985 + ... + 2056320015.

It is an arithmetic number, because the mean of its divisors is an integer number (167428224).

Almost surely, 2^63745920000 is an apocalyptic number.

63745920000 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 63745920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147336837120).

63745920000 is an abundant number, since it is smaller than the sum of its proper divisors (230927754240).

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

63745920000 is a wasteful number, since it uses less digits than its factorization.

63745920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 63745920000 in words is "sixty-three billion, seven hundred forty-five million, nine hundred twenty thousand".