745039952640 has 576 divisors, whose sum is σ = 2681204736000. Its totient is φ = 195892494336.

The previous prime is 745039952623. The next prime is 745039952659. The reversal of 745039952640 is 46259930547.

745039952640 is a `hidden beast` number, since 7 + 4 + 503 + 9 + 95 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 873434454 + ... + 873435306.

Almost surely, 2^745039952640 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 745039952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340602368000).

745039952640 is an abundant number, since it is smaller than the sum of its proper divisors (1936164783360).

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

745039952640 is a wasteful number, since it uses less digits than its factorization.

745039952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 745039952640 in words is "seven hundred forty-five billion, thirty-nine million, nine hundred fifty-two thousand, six hundred forty".