247949941680 has 240 divisors, whose sum is σ = 952045833024. Its totient is φ = 56651028480.

The previous prime is 247949941669. The next prime is 247949941691. The reversal of 247949941680 is 86149949742.

247949941680 is a `hidden beast` number, since 2 + 47 + 9 + 499 + 41 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (247949941669) and next prime (247949941691).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×247949941680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 14289810 + ... + 14307150.

Almost surely, 2^247949941680 is an apocalyptic number.

247949941680 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 247949941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476022916512).

247949941680 is an abundant number, since it is smaller than the sum of its proper divisors (704095891344).

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

247949941680 is a wasteful number, since it uses less digits than its factorization.

247949941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20204 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 247949941680 in words is "two hundred forty-seven billion, nine hundred forty-nine million, nine hundred forty-one thousand, six hundred eighty".