7706528509680 has 1600 divisors, whose sum is σ = 36003423633408. Its totient is φ = 1475464273920.

The previous prime is 7706528509651. The next prime is 7706528509699. The reversal of 7706528509680 is 869058256077.

7706528509680 is a `hidden beast` number, since 7 + 7 + 0 + 65 + 2 + 8 + 509 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7050803214 + ... + 7050804306.

Almost surely, 2^{7706528509680} is an apocalyptic number.

7706528509680 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 7706528509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18001711816704).

7706528509680 is an abundant number, since it is smaller than the sum of its proper divisors (28296895123728).

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

7706528509680 is a wasteful number, since it uses less digits than its factorization.

7706528509680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 7706528509680 in words is "seven trillion, seven hundred six billion, five hundred twenty-eight million, five hundred nine thousand, six hundred eighty".