7689366128640 has 1152 divisors, whose sum is σ = 29746407600000. Its totient is φ = 1688765202432.

The previous prime is 7689366128573. The next prime is 7689366128663. The reversal of 7689366128640 is 468216639867.

It is a super-2 number, since 2×7689366128640² (a number of 27 digits) contains 22 as substring.

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, 15409551111 + ... + 15409551609.

It is an arithmetic number, because the mean of its divisors is an integer number (25821534375).

Almost surely, 2^{7689366128640} is an apocalyptic number.

7689366128640 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 7689366128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873203800000).

7689366128640 is an abundant number, since it is smaller than the sum of its proper divisors (22057041471360).

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

7689366128640 is a wasteful number, since it uses less digits than its factorization.

7689366128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 7689366128640 in words is "seven trillion, six hundred eighty-nine billion, three hundred sixty-six million, one hundred twenty-eight thousand, six hundred forty".