47969760400 has 135 divisors (see below), whose sum is σ = 118259132971. Its totient is φ = 18699051520.

The previous prime is 47969760379. The next prime is 47969760463. The reversal of 47969760400 is 406796974.

The square root of 47969760400 is 219020.

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 9447062416 + 38522697984 = 97196^2 + 196272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205878684 + ... + 205878916.

Almost surely, 2^47969760400 is an apocalyptic number.

47969760400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47969760400 is the 219020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47969760400

47969760400 is an abundant number, since it is smaller than the sum of its proper divisors (70289372571).

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

47969760400 is an equidigital number, since it uses as much as digits as its factorization.

47969760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 47969760400 in words is "forty-seven billion, nine hundred sixty-nine million, seven hundred sixty thousand, four hundred".