4634827776 has 440 divisors, whose sum is σ = 15515113680. Its totient is φ = 1369571328.

The previous prime is 4634827753. The next prime is 4634827783. The reversal of 4634827776 is 6777284364.

4634827776 is a `hidden beast` number, since 463 + 48 + 2 + 77 + 76 = 666.

It is a super-2 number, since 2×4634827776² = 42963257026362212352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26790826 + ... + 26790998.

It is an arithmetic number, because the mean of its divisors is an integer number (35261622).

Almost surely, 2^4634827776 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 4634827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757556840).

4634827776 is an abundant number, since it is smaller than the sum of its proper divisors (10880285904).

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

4634827776 is a wasteful number, since it uses less digits than its factorization.

4634827776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 4634827776 is about 68079.5694463471. The cubic root of 4634827776 is about 1667.2902109176.

The spelling of 4634827776 in words is "four billion, six hundred thirty-four million, eight hundred twenty-seven thousand, seven hundred seventy-six".