7390849660800 has 1536 divisors, whose sum is σ = 27758543339520. Its totient is φ = 1718385377280.

The previous prime is 7390849660751. The next prime is 7390849660811. The reversal of 7390849660800 is 80669480937.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19297257409 + ... + 19297257791.

It is an arithmetic number, because the mean of its divisors is an integer number (18071968320).

Almost surely, 2^{7390849660800} 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 7390849660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879271669760).

7390849660800 is an abundant number, since it is smaller than the sum of its proper divisors (20367693678720).

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

7390849660800 is a wasteful number, since it uses less digits than its factorization.

7390849660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 7390849660800 in words is "seven trillion, three hundred ninety billion, eight hundred forty-nine million, six hundred sixty thousand, eight hundred".