748926243308880 has 2880 divisors, whose sum is σ = 3454562431353600. Its totient is φ = 147637350604800.

The previous prime is 748926243308861. The next prime is 748926243308941. The reversal of 748926243308880 is 88803342629847.

748926243308880 is a `hidden beast` number, since 7 + 4 + 89 + 2 + 62 + 4 + 330 + 88 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 748926243308799 and 748926243308808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 38345504715 + ... + 38345524245.

It is an arithmetic number, because the mean of its divisors is an integer number (1199500844220).

Almost surely, 2^{748926243308880} is an apocalyptic number.

748926243308880 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 748926243308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727281215676800).

748926243308880 is an abundant number, since it is smaller than the sum of its proper divisors (2705636188044720).

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

748926243308880 is a wasteful number, since it uses less digits than its factorization.

748926243308880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 748926243308880 in words is "seven hundred forty-eight trillion, nine hundred twenty-six billion, two hundred forty-three million, three hundred eight thousand, eight hundred eighty".