247787868960 has 384 divisors, whose sum is σ = 890788389120. Its totient is φ = 64292659200.

The previous prime is 247787868959. The next prime is 247787868967. The reversal of 247787868960 is 69868787742.

247787868960 is a `hidden beast` number, since 2 + 477 + 8 + 7 + 8 + 68 + 96 + 0 = 666.

It is a super-2 number, since 2×247787868960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (247787868967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74565859 + ... + 74569181.

It is an arithmetic number, because the mean of its divisors is an integer number (2319761430).

Almost surely, 2^247787868960 is an apocalyptic number.

247787868960 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 247787868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445394194560).

247787868960 is an abundant number, since it is smaller than the sum of its proper divisors (643000520160).

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

247787868960 is a wasteful number, since it uses less digits than its factorization.

247787868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 247787868960 in words is "two hundred forty-seven billion, seven hundred eighty-seven million, eight hundred sixty-eight thousand, nine hundred sixty".