744007680000 has 1800 divisors, whose sum is σ = 3129884966208. Its totient is φ = 175177728000.

The previous prime is 744007679981. The next prime is 744007680079. The reversal of 744007680000 is 86700447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32348159989 + ... + 32348160011.

Almost surely, 2^744007680000 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 744007680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564942483104).

744007680000 is an abundant number, since it is smaller than the sum of its proper divisors (2385877286208).

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

744007680000 is an frugal number, since it uses more digits than its factorization.

744007680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 744007680000 in words is "seven hundred forty-four billion, seven million, six hundred eighty thousand".