4791340364832 has 576 divisors, whose sum is σ = 16159637894400. Its totient is φ = 1318132776960.

The previous prime is 4791340364779. The next prime is 4791340364957. The reversal of 4791340364832 is 2384630431974.

It is a happy number.

4791340364832 is a `hidden beast` number, since 4 + 7 + 91 + 3 + 40 + 36 + 483 + 2 = 666.

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, 3217823544 + ... + 3217825032.

It is an arithmetic number, because the mean of its divisors is an integer number (28054926900).

Almost surely, 2^{4791340364832} is an apocalyptic number.

4791340364832 is a gapful number since it is divisible by the number (42) 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 4791340364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079818947200).

4791340364832 is an abundant number, since it is smaller than the sum of its proper divisors (11368297529568).

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

4791340364832 is a wasteful number, since it uses less digits than its factorization.

4791340364832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4791340364832 in words is "four trillion, seven hundred ninety-one billion, three hundred forty million, three hundred sixty-four thousand, eight hundred thirty-two".