7662012646560 has 384 divisors, whose sum is σ = 25680694636800. Its totient is φ = 1916563783680.

The previous prime is 7662012646507. The next prime is 7662012646571. The reversal of 7662012646560 is 656462102667.

It is a super-3 number, since 3×7662012646560³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355881876 + ... + 355903404.

It is an arithmetic number, because the mean of its divisors is an integer number (66876808950).

Almost surely, 2^{7662012646560} 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 7662012646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840347318400).

7662012646560 is an abundant number, since it is smaller than the sum of its proper divisors (18018681990240).

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

7662012646560 is a wasteful number, since it uses less digits than its factorization.

7662012646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22304 (or 22296 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 7662012646560 in words is "seven trillion, six hundred sixty-two billion, twelve million, six hundred forty-six thousand, five hundred sixty".