247971428849664 has 768 divisors, whose sum is σ = 795882615091200. Its totient is φ = 75834438451200.

The previous prime is 247971428849633. The next prime is 247971428849671. The reversal of 247971428849664 is 466948824179742.

247971428849664 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 7 + 1 + 42 + 88 + 496 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×247971428849664² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187714934124 + ... + 187714935444.

It is an arithmetic number, because the mean of its divisors is an integer number (1036305488400).

Almost surely, 2^{247971428849664} is an apocalyptic number.

247971428849664 is a gapful number since it is divisible by the number (24) 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 247971428849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397941307545600).

247971428849664 is an abundant number, since it is smaller than the sum of its proper divisors (547911186241536).

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

247971428849664 is a wasteful number, since it uses less digits than its factorization.

247971428849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2733 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 81.

The spelling of 247971428849664 in words is "two hundred forty-seven trillion, nine hundred seventy-one billion, four hundred twenty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".