7721417088 has 384 divisors, whose sum is σ = 28175696640. Its totient is φ = 1971302400.

The previous prime is 7721417071. The next prime is 7721417107. The reversal of 7721417088 is 8807141277.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5410231 + ... + 5411657.

It is an arithmetic number, because the mean of its divisors is an integer number (73374210).

Almost surely, 2^7721417088 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 7721417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087848320).

7721417088 is an abundant number, since it is smaller than the sum of its proper divisors (20454279552).

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

7721417088 is a wasteful number, since it uses less digits than its factorization.

7721417088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 7721417088 is about 87871.5943180730. The cubic root of 7721417088 is about 1976.5099461350.

The spelling of 7721417088 in words is "seven billion, seven hundred twenty-one million, four hundred seventeen thousand, eighty-eight".