4791795757000 has 256 divisors, whose sum is σ = 12979904071680. Its totient is φ = 1621746144000.

The previous prime is 4791795756971. The next prime is 4791795757027. The reversal of 4791795757000 is 7575971974.

It is a super-2 number, since 2×4791795757000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4791795757000.

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, 889508307 + ... + 889513693.

It is an arithmetic number, because the mean of its divisors is an integer number (50702750280).

Almost surely, 2^{4791795757000} is an apocalyptic number.

4791795757000 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 4791795757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489952035840).

4791795757000 is an abundant number, since it is smaller than the sum of its proper divisors (8188108314680).

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

4791795757000 is a wasteful number, since it uses less digits than its factorization.

4791795757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 19448100, while the sum is 61.

The spelling of 4791795757000 in words is "four trillion, seven hundred ninety-one billion, seven hundred ninety-five million, seven hundred fifty-seven thousand".