4294724686560 has 1152 divisors, whose sum is σ = 19068777907200. Its totient is φ = 877048197120.

The previous prime is 4294724686537. The next prime is 4294724686627. The reversal of 4294724686560 is 656864274924.

It is a happy number.

4294724686560 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 7 + 2 + 4 + 68 + 6 + 560 = 666.

4294724686560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1157917986 + ... + 1157921694.

It is an arithmetic number, because the mean of its divisors is an integer number (16552758600).

Almost surely, 2^{4294724686560} is an apocalyptic number.

4294724686560 is a gapful number since it is divisible by the number (40) 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 4294724686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534388953600).

4294724686560 is an abundant number, since it is smaller than the sum of its proper divisors (14774053220640).

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

4294724686560 is a wasteful number, since it uses less digits than its factorization.

4294724686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4294724686560 in words is "four trillion, two hundred ninety-four billion, seven hundred twenty-four million, six hundred eighty-six thousand, five hundred sixty".