748121572800 has 1512 divisors, whose sum is σ = 3246483711744. Its totient is φ = 168939509760.

The previous prime is 748121572721. The next prime is 748121572801. The reversal of 748121572800 is 8275121847.

748121572800 is a `hidden beast` number, since 7 + 481 + 21 + 5 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748121572801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2038478217 + ... + 2038478583.

It is an arithmetic number, because the mean of its divisors is an integer number (2147145312).

Almost surely, 2^748121572800 is an apocalyptic number.

748121572800 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 748121572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623241855872).

748121572800 is an abundant number, since it is smaller than the sum of its proper divisors (2498362138944).

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

748121572800 is a wasteful number, since it uses less digits than its factorization.

748121572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 748121572800 in words is "seven hundred forty-eight billion, one hundred twenty-one million, five hundred seventy-two thousand, eight hundred".