7400945664 has 288 divisors, whose sum is σ = 25723152000. Its totient is φ = 2002599936.

The previous prime is 7400945659. The next prime is 7400945687. The reversal of 7400945664 is 4665490047.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2449947 + ... + 2452965.

It is an arithmetic number, because the mean of its divisors is an integer number (89316500).

Almost surely, 2^7400945664 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 7400945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861576000).

7400945664 is an abundant number, since it is smaller than the sum of its proper divisors (18322206336).

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

7400945664 is a wasteful number, since it uses less digits than its factorization.

7400945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7400945664 is about 86028.7490551850. The cubic root of 7400945664 is about 1948.7781663371.

The spelling of 7400945664 in words is "seven billion, four hundred million, nine hundred forty-five thousand, six hundred sixty-four".