748414563848640 has 2688 divisors, whose sum is σ = 3146682711244800. Its totient is φ = 167665450106880.

The previous prime is 748414563848603. The next prime is 748414563848701. The reversal of 748414563848640 is 46848365414847.

748414563848640 is a `hidden beast` number, since 7 + 4 + 8 + 4 + 1 + 45 + 63 + 8 + 486 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82761751959 + ... + 82761761001.

It is an arithmetic number, because the mean of its divisors is an integer number (1170640889600).

Almost surely, 2^{748414563848640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748414563848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573341355622400).

748414563848640 is an abundant number, since it is smaller than the sum of its proper divisors (2398268147396160).

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

748414563848640 is a wasteful number, since it uses less digits than its factorization.

748414563848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 72.

The spelling of 748414563848640 in words is "seven hundred forty-eight trillion, four hundred fourteen billion, five hundred sixty-three million, eight hundred forty-eight thousand, six hundred forty".