4632872779740 has 288 divisors, whose sum is σ = 14597806970880. Its totient is φ = 1094533779456.

The previous prime is 4632872779709. The next prime is 4632872779793. The reversal of 4632872779740 is 479772782364.

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, 51680437 + ... + 51770003.

It is an arithmetic number, because the mean of its divisors is an integer number (50686829760).

Almost surely, 2^{4632872779740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632872779740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298903485440).

4632872779740 is an abundant number, since it is smaller than the sum of its proper divisors (9964934191140).

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

4632872779740 is a wasteful number, since it uses less digits than its factorization.

4632872779740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89789 (or 89770 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 66.

The spelling of 4632872779740 in words is "four trillion, six hundred thirty-two billion, eight hundred seventy-two million, seven hundred seventy-nine thousand, seven hundred forty".