4929294706560 has 768 divisors, whose sum is σ = 20002926827520. Its totient is φ = 1095059865600.

The previous prime is 4929294706547. The next prime is 4929294706597. The reversal of 4929294706560 is 656074929294.

4929294706560 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 29 + 47 + 0 + 6 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 447990019 + ... + 448001021.

It is an arithmetic number, because the mean of its divisors is an integer number (26045477640).

Almost surely, 2^{4929294706560} is an apocalyptic number.

4929294706560 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 4929294706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001463413760).

4929294706560 is an abundant number, since it is smaller than the sum of its proper divisors (15073632120960).

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

4929294706560 is a wasteful number, since it uses less digits than its factorization.

4929294706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 4929294706560 in words is "four trillion, nine hundred twenty-nine billion, two hundred ninety-four million, seven hundred six thousand, five hundred sixty".