7362736992000 has 864 divisors, whose sum is σ = 30209787578880. Its totient is φ = 1705741516800.

The previous prime is 7362736991969. The next prime is 7362736992029. The reversal of 7362736992000 is 2996372637.

7362736992000 is a `hidden beast` number, since 7 + 3 + 627 + 3 + 6 + 9 + 9 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63590161 + ... + 63705839.

It is an arithmetic number, because the mean of its divisors is an integer number (34965031920).

Almost surely, 2^{7362736992000} 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 7362736992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104893789440).

7362736992000 is an abundant number, since it is smaller than the sum of its proper divisors (22847050586880).

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

7362736992000 is a wasteful number, since it uses less digits than its factorization.

7362736992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115746 (or 115719 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 7362736992000 in words is "seven trillion, three hundred sixty-two billion, seven hundred thirty-six million, nine hundred ninety-two thousand".