4774556461536 has 864 divisors, whose sum is σ = 15390063037440. Its totient is φ = 1401095356416.

The previous prime is 4774556461469. The next prime is 4774556461559. The reversal of 4774556461536 is 6351646554774.

4774556461536 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 5 + 5 + 6 + 4 + 615 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14167823160 + ... + 14167823496.

It is an arithmetic number, because the mean of its divisors is an integer number (17812572960).

Almost surely, 2^{4774556461536} 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 4774556461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695031518720).

4774556461536 is an abundant number, since it is smaller than the sum of its proper divisors (10615506575904).

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

4774556461536 is a wasteful number, since it uses less digits than its factorization.

4774556461536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 554 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 63.

The spelling of 4774556461536 in words is "four trillion, seven hundred seventy-four billion, five hundred fifty-six million, four hundred sixty-one thousand, five hundred thirty-six".