247966437420 has 288 divisors, whose sum is σ = 823223087232. Its totient is φ = 60051124224.

The previous prime is 247966437379. The next prime is 247966437479. The reversal of 247966437420 is 24734669742.

247966437420 is a `hidden beast` number, since 2 + 47 + 96 + 64 + 37 + 420 = 666.

It is a super-2 number, since 2×247966437420² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37836864 + ... + 37843416.

Almost surely, 2^247966437420 is an apocalyptic number.

247966437420 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 247966437420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411611543616).

247966437420 is an abundant number, since it is smaller than the sum of its proper divisors (575256649812).

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

247966437420 is a wasteful number, since it uses less digits than its factorization.

247966437420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 247966437420 in words is "two hundred forty-seven billion, nine hundred sixty-six million, four hundred thirty-seven thousand, four hundred twenty".