7669412640 has 288 divisors, whose sum is σ = 28519464960. Its totient is φ = 1924558848.

The previous prime is 7669412633. The next prime is 7669412659. The reversal of 7669412640 is 462149667.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1245409 + ... + 1251551.

It is an arithmetic number, because the mean of its divisors is an integer number (99025920).

Almost surely, 2^7669412640 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 7669412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259732480).

7669412640 is an abundant number, since it is smaller than the sum of its proper divisors (20850052320).

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

7669412640 is a wasteful number, since it uses less digits than its factorization.

7669412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7669412640 is about 87575.1827859925. The cubic root of 7669412640 is about 1972.0626218719.

The spelling of 7669412640 in words is "seven billion, six hundred sixty-nine million, four hundred twelve thousand, six hundred forty".