7660767449088 has 416 divisors, whose sum is σ = 24463211767680. Its totient is φ = 2355078758400.

The previous prime is 7660767449081. The next prime is 7660767449089. The reversal of 7660767449088 is 8809447670667.

It is a happy number.

7660767449088 is a `hidden beast` number, since 7 + 6 + 60 + 7 + 6 + 74 + 490 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7660767449081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2733058695 + ... + 2733061497.

Almost surely, 2^{7660767449088} is an apocalyptic number.

7660767449088 is a gapful number since it is divisible by the number (78) 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 7660767449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231605883840).

7660767449088 is an abundant number, since it is smaller than the sum of its proper divisors (16802444318592).

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

7660767449088 is a wasteful number, since it uses less digits than its factorization.

7660767449088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 7660767449088 in words is "seven trillion, six hundred sixty billion, seven hundred sixty-seven million, four hundred forty-nine thousand, eighty-eight".