7416164048640 has 288 divisors, whose sum is σ = 23983708766976. Its totient is φ = 1952759808000.

The previous prime is 7416164048639. The next prime is 7416164048669. The reversal of 7416164048640 is 468404616147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717433552 + ... + 717443888.

It is an arithmetic number, because the mean of its divisors is an integer number (83276766552).

Almost surely, 2^{7416164048640} 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 7416164048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991854383488).

7416164048640 is an abundant number, since it is smaller than the sum of its proper divisors (16567544718336).

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

7416164048640 is a wasteful number, since it uses less digits than its factorization.

7416164048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12695 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 7416164048640 in words is "seven trillion, four hundred sixteen billion, one hundred sixty-four million, forty-eight thousand, six hundred forty".