7601696880 has 320 divisors, whose sum is σ = 26496875520. Its totient is φ = 1792688128.

The previous prime is 7601696867. The next prime is 7601696923. The reversal of 7601696880 is 886961067.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5535874 + ... + 5537246.

It is an arithmetic number, because the mean of its divisors is an integer number (82802736).

Almost surely, 2^7601696880 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 7601696880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248437760).

7601696880 is an abundant number, since it is smaller than the sum of its proper divisors (18895178640).

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

7601696880 is a wasteful number, since it uses less digits than its factorization.

7601696880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 7601696880 is about 87187.7106018962. The cubic root of 7601696880 is about 1966.2414598631.

The spelling of 7601696880 in words is "seven billion, six hundred one million, six hundred ninety-six thousand, eight hundred eighty".