7640007786960 has 80 divisors (see below), whose sum is σ = 24130892559744. Its totient is φ = 1998895115776.

The previous prime is 7640007786953. The next prime is 7640007786967. The reversal of 7640007786960 is 696877000467.

It is an interprime number because it is at equal distance from previous prime (7640007786953) and next prime (7640007786967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7640007786894 and 7640007786903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640007786967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 300302052 + ... + 300327491.

Almost surely, 2^{7640007786960} is an apocalyptic number.

It is an amenable number.

7640007786960 is an abundant number, since it is smaller than the sum of its proper divisors (16490884772784).

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

7640007786960 is a wasteful number, since it uses less digits than its factorization.

7640007786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600629612 (or 600629606 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 7640007786960 in words is "seven trillion, six hundred forty billion, seven million, seven hundred eighty-six thousand, nine hundred sixty".