7721049600 has 600 divisors, whose sum is σ = 31220053128. Its totient is φ = 1869004800.

The previous prime is 7721049587. The next prime is 7721049719. The reversal of 7721049600 is 69401277.

It is a happy number.

7721049600 is a `hidden beast` number, since 7 + 7 + 2 + 1 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×7721049600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11404462 + ... + 11405138.

Almost surely, 2^7721049600 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 7721049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610026564).

7721049600 is an abundant number, since it is smaller than the sum of its proper divisors (23499003528).

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

7721049600 is a wasteful number, since it uses less digits than its factorization.

7721049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7721049600 is about 87869.5032420236. The cubic root of 7721049600 is about 1976.4785894034.

The spelling of 7721049600 in words is "seven billion, seven hundred twenty-one million, forty-nine thousand, six hundred".