6992008740000 has 1440 divisors, whose sum is σ = 27588192952320. Its totient is φ = 1671259392000.

The previous prime is 6992008739959. The next prime is 6992008740049. The reversal of 6992008740000 is 478002996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8101979569 + ... + 8101980431.

It is an arithmetic number, because the mean of its divisors is an integer number (19158467328).

Almost surely, 2^{6992008740000} is an apocalyptic number.

6992008740000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6992008740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794096476160).

6992008740000 is an abundant number, since it is smaller than the sum of its proper divisors (20596184212320).

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

6992008740000 is a wasteful number, since it uses less digits than its factorization.

6992008740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 6992008740000 in words is "six trillion, nine hundred ninety-two billion, eight million, seven hundred forty thousand".