247997966400 has 378 divisors, whose sum is σ = 910845020826. Its totient is φ = 63995904000.

The previous prime is 247997966387. The next prime is 247997966479. The reversal of 247997966400 is 4669799742.

It can be written as a sum of positive squares in 3 ways, for example, as 1735888896 + 246262077504 = 41664^2 + 496248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13829440 + ... + 13847360.

Almost surely, 2^247997966400 is an apocalyptic number.

247997966400 is a gapful number since it is divisible by the number (20) 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 247997966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455422510413).

247997966400 is an abundant number, since it is smaller than the sum of its proper divisors (662847054426).

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

247997966400 is a wasteful number, since it uses less digits than its factorization.

247997966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18011 (or 17962 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 247997966400 in words is "two hundred forty-seven billion, nine hundred ninety-seven million, nine hundred sixty-six thousand, four hundred".