63402013440 has 864 divisors, whose sum is σ = 245511544320. Its totient is φ = 15461867520.

The previous prime is 63402013429. The next prime is 63402013459. The reversal of 63402013440 is 4431020436.

63402013440 is a `hidden beast` number, since 634 + 0 + 20 + 1 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763879639 + ... + 763879721.

It is an arithmetic number, because the mean of its divisors is an integer number (284156880).

Almost surely, 2^63402013440 is an apocalyptic number.

63402013440 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 63402013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122755772160).

63402013440 is an abundant number, since it is smaller than the sum of its proper divisors (182109530880).

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

63402013440 is a wasteful number, since it uses less digits than its factorization.

63402013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 63402013440 its reverse (4431020436), we get a palindrome (67833033876).

The spelling of 63402013440 in words is "sixty-three billion, four hundred two million, thirteen thousand, four hundred forty".