247785132672 has 768 divisors, whose sum is σ = 927641594880. Its totient is φ = 63959777280.

The previous prime is 247785132641. The next prime is 247785132689. The reversal of 247785132672 is 276231587742.

It is a happy number.

247785132672 is a `hidden beast` number, since 2 + 477 + 85 + 1 + 3 + 26 + 72 = 666.

It is a super-2 number, since 2×247785132672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 735267288 + ... + 735267624.

It is an arithmetic number, because the mean of its divisors is an integer number (1207866660).

Almost surely, 2^247785132672 is an apocalyptic number.

247785132672 is a gapful number since it is divisible by the number (22) 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 247785132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463820797440).

247785132672 is an abundant number, since it is smaller than the sum of its proper divisors (679856462208).

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

247785132672 is a wasteful number, since it uses less digits than its factorization.

247785132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 667 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 247785132672 in words is "two hundred forty-seven billion, seven hundred eighty-five million, one hundred thirty-two thousand, six hundred seventy-two".