4697709456400 has 135 divisors (see below), whose sum is σ = 11355297461751. Its totient is φ = 1867657144320.

The previous prime is 4697709456397. The next prime is 4697709456449. The reversal of 4697709456400 is 46549077964.

The square root of 4697709456400 is 2167420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 257215322896 + 4440494133504 = 507164^2 + 2107248^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 13307958624 + ... + 13307958976.

Almost surely, 2^{4697709456400} is an apocalyptic number.

4697709456400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4697709456400 is the 2167420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4697709456400

4697709456400 is an abundant number, since it is smaller than the sum of its proper divisors (6657588005351).

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

4697709456400 is an frugal number, since it uses more digits than its factorization.

4697709456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 4697709456400 in words is "four trillion, six hundred ninety-seven billion, seven hundred nine million, four hundred fifty-six thousand, four hundred".