7666034400 has 360 divisors, whose sum is σ = 29605292640. Its totient is φ = 1923747840.

The previous prime is 7666034393. The next prime is 7666034449. The reversal of 7666034400 is 44306667.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1098121 + ... + 1105079.

It is an arithmetic number, because the mean of its divisors is an integer number (82236924).

Almost surely, 2^7666034400 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 7666034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802646320).

7666034400 is an abundant number, since it is smaller than the sum of its proper divisors (21939258240).

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

7666034400 is a wasteful number, since it uses less digits than its factorization.

7666034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7666034400 is about 87555.8930055539. The cubic root of 7666034400 is about 1971.7730264985.

The spelling of 7666034400 in words is "seven billion, six hundred sixty-six million, thirty-four thousand, four hundred".