63007338240 has 576 divisors, whose sum is σ = 278771512320. Its totient is φ = 13091880960.

The previous prime is 63007338239. The next prime is 63007338283. The reversal of 63007338240 is 4283370036.

63007338240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 63007338195 and 63007338204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649282 + ... + 2672958.

It is an arithmetic number, because the mean of its divisors is an integer number (483978320).

Almost surely, 2^63007338240 is an apocalyptic number.

63007338240 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 63007338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139385756160).

63007338240 is an abundant number, since it is smaller than the sum of its proper divisors (215764174080).

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

63007338240 is a wasteful number, since it uses less digits than its factorization.

63007338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23725 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 63007338240 in words is "sixty-three billion, seven million, three hundred thirty-eight thousand, two hundred forty".