4701859760640 has 640 divisors, whose sum is σ = 18419609640960. Its totient is φ = 998673481728.

The previous prime is 4701859760579. The next prime is 4701859760677. The reversal of 4701859760640 is 460679581074.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 72167119 + ... + 72232241.

It is an arithmetic number, because the mean of its divisors is an integer number (28780640064).

Almost surely, 2^{4701859760640} is an apocalyptic number.

4701859760640 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 4701859760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209804820480).

4701859760640 is an abundant number, since it is smaller than the sum of its proper divisors (13717749880320).

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

4701859760640 is a wasteful number, since it uses less digits than its factorization.

4701859760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65252 (or 65236 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 4701859760640 in words is "four trillion, seven hundred one billion, eight hundred fifty-nine million, seven hundred sixty thousand, six hundred forty".