6992575856640 has 624 divisors, whose sum is σ = 26507464014096. Its totient is φ = 1691143372800.

The previous prime is 6992575856599. The next prime is 6992575856647. The reversal of 6992575856640 is 466585752996.

It is a happy number.

6992575856640 is a `hidden beast` number, since 6 + 9 + 9 + 2 + 5 + 7 + 58 + 566 + 4 + 0 = 666.

It is a super-2 number, since 2×6992575856640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6992575856647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16609443630 + ... + 16609444050.

It is an arithmetic number, because the mean of its divisors is an integer number (42479910279).

Almost surely, 2^{6992575856640} is an apocalyptic number.

6992575856640 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 6992575856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253732007048).

6992575856640 is an abundant number, since it is smaller than the sum of its proper divisors (19514888157456).

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

6992575856640 is an frugal number, since it uses more digits than its factorization.

6992575856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 6992575856640 in words is "six trillion, nine hundred ninety-two billion, five hundred seventy-five million, eight hundred fifty-six thousand, six hundred forty".