966349742400 has 336 divisors, whose sum is σ = 4025947223680. Its totient is φ = 220879872000.

The previous prime is 966349742363. The next prime is 966349742431. The reversal of 966349742400 is 4247943669.

966349742400 is a `hidden beast` number, since 96 + 63 + 4 + 97 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295401 + ... + 1900200.

Almost surely, 2^966349742400 is an apocalyptic number.

966349742400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966349742400 is an abundant number, since it is smaller than the sum of its proper divisors (3059597481280).

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

966349742400 is a wasteful number, since it uses less digits than its factorization.

966349742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195639 (or 3195618 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 966349742400 in words is "nine hundred sixty-six billion, three hundred forty-nine million, seven hundred forty-two thousand, four hundred".