7681206960 has 720 divisors, whose sum is σ = 32006118144. Its totient is φ = 1615832064.

The previous prime is 7681206959. The next prime is 7681206971. The reversal of 7681206960 is 696021867.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 114644847 + ... + 114644913.

Almost surely, 2^7681206960 is an apocalyptic number.

7681206960 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 7681206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003059072).

7681206960 is an abundant number, since it is smaller than the sum of its proper divisors (24324911184).

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

7681206960 is a wasteful number, since it uses less digits than its factorization.

7681206960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7681206960 is about 87642.4951721481. The cubic root of 7681206960 is about 1973.0730088882.

The spelling of 7681206960 in words is "seven billion, six hundred eighty-one million, two hundred six thousand, nine hundred sixty".