7678650680064 has 1620 divisors, whose sum is σ = 29352450902544. Its totient is φ = 1978893213696.

The previous prime is 7678650680059. The next prime is 7678650680069. The reversal of 7678650680064 is 4600860568767.

7678650680064 is a `hidden beast` number, since 7 + 67 + 8 + 6 + 506 + 8 + 0 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (7678650680059) and next prime (7678650680069).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7678650679983 and 7678650680010.

It is not an unprimeable number, because it can be changed into a prime (7678650680069) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 45979944109 + ... + 45979944275.

Almost surely, 2^{7678650680064} 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 7678650680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676225451272).

7678650680064 is an abundant number, since it is smaller than the sum of its proper divisors (21673800222480).

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

7678650680064 is a wasteful number, since it uses less digits than its factorization.

7678650680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7678650680064 in words is "seven trillion, six hundred seventy-eight billion, six hundred fifty million, six hundred eighty thousand, sixty-four".