247776465200880 has 960 divisors, whose sum is σ = 1033876533381120. Its totient is φ = 48403827763200.

The previous prime is 247776465200863. The next prime is 247776465200893. The reversal of 247776465200880 is 88002564677742.

It is a super-2 number, since 2×247776465200880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321592267 + ... + 322361813.

It is an arithmetic number, because the mean of its divisors is an integer number (1076954722272).

Almost surely, 2^{247776465200880} is an apocalyptic number.

247776465200880 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 247776465200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516938266690560).

247776465200880 is an abundant number, since it is smaller than the sum of its proper divisors (786100068180240).

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

247776465200880 is a wasteful number, since it uses less digits than its factorization.

247776465200880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769738 (or 769725 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 66.

The spelling of 247776465200880 in words is "two hundred forty-seven trillion, seven hundred seventy-six billion, four hundred sixty-five million, two hundred thousand, eight hundred eighty".