63408245040 has 560 divisors, whose sum is σ = 254808834048. Its totient is φ = 14367435264.

The previous prime is 63408245023. The next prime is 63408245053. The reversal of 63408245040 is 4054280436.

63408245040 is a `hidden beast` number, since 6 + 3 + 408 + 245 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 63408244986 and 63408245004.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51845869 + ... + 51847091.

Almost surely, 2^63408245040 is an apocalyptic number.

63408245040 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 63408245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127404417024).

63408245040 is an abundant number, since it is smaller than the sum of its proper divisors (191400589008).

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

63408245040 is a wasteful number, since it uses less digits than its factorization.

63408245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 63408245040 in words is "sixty-three billion, four hundred eight million, two hundred forty-five thousand, forty".