4859769428640 has 1920 divisors, whose sum is σ = 21619306114560. Its totient is φ = 1002398810112.

The previous prime is 4859769428599. The next prime is 4859769428729. The reversal of 4859769428640 is 468249679584.

4859769428640 is a `hidden beast` number, since 4 + 8 + 597 + 6 + 9 + 4 + 28 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8631916999 + ... + 8631917561.

It is an arithmetic number, because the mean of its divisors is an integer number (11260055268).

Almost surely, 2^{4859769428640} is an apocalyptic number.

4859769428640 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 4859769428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809653057280).

4859769428640 is an abundant number, since it is smaller than the sum of its proper divisors (16759536685920).

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

4859769428640 is a wasteful number, since it uses less digits than its factorization.

4859769428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 4859769428640 in words is "four trillion, eight hundred fifty-nine billion, seven hundred sixty-nine million, four hundred twenty-eight thousand, six hundred forty".