746220501180 has 2592 divisors, whose sum is σ = 3337871846400. Its totient is φ = 138814663680.

The previous prime is 746220501163. The next prime is 746220501233. The reversal of 746220501180 is 81105022647.

746220501180 is a `hidden beast` number, since 74 + 6 + 2 + 2 + 0 + 501 + 1 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 15877031917 + ... + 15877031963.

It is an arithmetic number, because the mean of its divisors is an integer number (1287759200).

Almost surely, 2^746220501180 is an apocalyptic number.

746220501180 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 746220501180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668935923200).

746220501180 is an abundant number, since it is smaller than the sum of its proper divisors (2591651345220).

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

746220501180 is a wasteful number, since it uses less digits than its factorization.

746220501180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 746220501180 in words is "seven hundred forty-six billion, two hundred twenty million, five hundred one thousand, one hundred eighty".