63640093440 has 1152 divisors, whose sum is σ = 268547457024. Its totient is φ = 12460032000.

The previous prime is 63640093411. The next prime is 63640093459. The reversal of 63640093440 is 4439004636.

It is a happy number.

It is a super-2 number, since 2×63640093440² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 485802175 + ... + 485802305.

It is an arithmetic number, because the mean of its divisors is an integer number (233114112).

Almost surely, 2^63640093440 is an apocalyptic number.

63640093440 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 63640093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134273728512).

63640093440 is an abundant number, since it is smaller than the sum of its proper divisors (204907363584).

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

63640093440 is a wasteful number, since it uses less digits than its factorization.

63640093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 63640093440 in words is "sixty-three billion, six hundred forty million, ninety-three thousand, four hundred forty".