7992340016640 has 640 divisors, whose sum is σ = 31452455485440. Its totient is φ = 1690414645248.

The previous prime is 7992340016599. The next prime is 7992340016653. The reversal of 7992340016640 is 466100432997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43830937 + ... + 44012903.

It is an arithmetic number, because the mean of its divisors is an integer number (49144461696).

Almost surely, 2^{7992340016640} is an apocalyptic number.

7992340016640 is a gapful number since it is divisible by the number (70) 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 7992340016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726227742720).

7992340016640 is an abundant number, since it is smaller than the sum of its proper divisors (23460115468800).

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

7992340016640 is a wasteful number, since it uses less digits than its factorization.

7992340016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182062 (or 182046 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 7992340016640 in words is "seven trillion, nine hundred ninety-two billion, three hundred forty million, sixteen thousand, six hundred forty".