7966694400 has 792 divisors, whose sum is σ = 32119395120. Its totient is φ = 1734082560.

The previous prime is 7966694399. The next prime is 7966694423. The reversal of 7966694400 is 44966697.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109132764 + ... + 109132836.

Almost surely, 2^7966694400 is an apocalyptic number.

7966694400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059697560).

7966694400 is an abundant number, since it is smaller than the sum of its proper divisors (24152700720).

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

7966694400 is a wasteful number, since it uses less digits than its factorization.

7966694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 7966694400 is about 89256.3409512176. The cubic root of 7966694400 is about 1997.2206727926.

The spelling of 7966694400 in words is "seven billion, nine hundred sixty-six million, six hundred ninety-four thousand, four hundred".