748120421160840 has 768 divisors, whose sum is σ = 3028502560849920. Its totient is φ = 146111944366080.

The previous prime is 748120421160793. The next prime is 748120421160961. The reversal of 748120421160840 is 48061124021847.

It is a self number, because there is not a number n which added to its sum of digits gives 748120421160840.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47638447 + ... + 61364993.

It is an arithmetic number, because the mean of its divisors is an integer number (3943362709440).

Almost surely, 2^{748120421160840} is an apocalyptic number.

748120421160840 is a gapful number since it is divisible by the number (70) 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 748120421160840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514251280424960).

748120421160840 is an abundant number, since it is smaller than the sum of its proper divisors (2280382139689080).

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

748120421160840 is a wasteful number, since it uses less digits than its factorization.

748120421160840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726642 (or 13726631 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 748120421160840 in words is "seven hundred forty-eight trillion, one hundred twenty billion, four hundred twenty-one million, one hundred sixty thousand, eight hundred forty".