7716466400 has 72 divisors (see below), whose sum is σ = 19032219360. Its totient is φ = 3054735360.

The previous prime is 7716466361. The next prime is 7716466403. The reversal of 7716466400 is 46646177.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7716466403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27881 + ... + 127319.

It is an arithmetic number, because the mean of its divisors is an integer number (264336380).

Almost surely, 2^7716466400 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 7716466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516109680).

7716466400 is an abundant number, since it is smaller than the sum of its proper divisors (11315752960).

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

7716466400 is a wasteful number, since it uses less digits than its factorization.

7716466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99556 (or 99543 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 7716466400 is about 87843.4197877109. The cubic root of 7716466400 is about 1976.0874340502.

The spelling of 7716466400 in words is "seven billion, seven hundred sixteen million, four hundred sixty-six thousand, four hundred".