746544087120 has 160 divisors (see below), whose sum is σ = 2493083182464. Its totient is φ = 183707596800.

The previous prime is 746544087031. The next prime is 746544087151. The reversal of 746544087120 is 21780445647.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 746544087120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10482030 + ... + 10553010.

Almost surely, 2^746544087120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746544087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246541591232).

746544087120 is an abundant number, since it is smaller than the sum of its proper divisors (1746539095344).

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

746544087120 is a wasteful number, since it uses less digits than its factorization.

746544087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74381 (or 74375 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 746544087120 in words is "seven hundred forty-six billion, five hundred forty-four million, eighty-seven thousand, one hundred twenty".