373251945991680 has 5120 divisors, whose sum is σ = 1755977895936000. Its totient is φ = 73103768027136.

The previous prime is 373251945991667. The next prime is 373251945991741. The reversal of 373251945991680 is 86199549152373.

373251945991680 is a `hidden beast` number, since 3 + 7 + 3 + 2 + 5 + 1 + 9 + 459 + 9 + 168 + 0 = 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 = 373251945991599 and 373251945991608.

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 511 ways as a sum of consecutive naturals, for example, 450243601506 + ... + 450243602334.

It is an arithmetic number, because the mean of its divisors is an integer number (342964432800).

It is a 1-persistent number, because it is pandigital, but 2⋅373251945991680 = 746503891983360 is not.

Almost surely, 2^{373251945991680} is an apocalyptic number.

373251945991680 is a gapful number since it is divisible by the number (30) 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 373251945991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877988947968000).

373251945991680 is an abundant number, since it is smaller than the sum of its proper divisors (1382725949944320).

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

373251945991680 is a wasteful number, since it uses less digits than its factorization.

373251945991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 373251945991680 in words is "three hundred seventy-three trillion, two hundred fifty-one billion, nine hundred forty-five million, nine hundred ninety-one thousand, six hundred eighty".