7721429760 has 576 divisors, whose sum is σ = 31493952000. Its totient is φ = 1771683840.

The previous prime is 7721429731. The next prime is 7721429777. The reversal of 7721429760 is 679241277.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7721429760² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7222506 + ... + 7223574.

It is an arithmetic number, because the mean of its divisors is an integer number (54677000).

Almost surely, 2^7721429760 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 7721429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746976000).

7721429760 is an abundant number, since it is smaller than the sum of its proper divisors (23772522240).

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

7721429760 is a wasteful number, since it uses less digits than its factorization.

7721429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7721429760 is about 87871.6664232561. Note that the first 3 decimals coincide. The cubic root of 7721429760 is about 1976.5110273839.

The spelling of 7721429760 in words is "seven billion, seven hundred twenty-one million, four hundred twenty-nine thousand, seven hundred sixty".