744291152640 has 1296 divisors, whose sum is σ = 3263365778400. Its totient is φ = 155547205632.

The previous prime is 744291152629. The next prime is 744291152701. The reversal of 744291152640 is 46251192447.

744291152640 is a `hidden beast` number, since 74 + 4 + 2 + 9 + 11 + 526 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 311027284 + ... + 311029676.

It is an arithmetic number, because the mean of its divisors is an integer number (2518029150).

Almost surely, 2^744291152640 is an apocalyptic number.

744291152640 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 744291152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631682889200).

744291152640 is an abundant number, since it is smaller than the sum of its proper divisors (2519074625760).

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

744291152640 is a wasteful number, since it uses less digits than its factorization.

744291152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 744291152640 in words is "seven hundred forty-four billion, two hundred ninety-one million, one hundred fifty-two thousand, six hundred forty".