4561292736 has 672 divisors, whose sum is σ = 18266347008. Its totient is φ = 1089884160.

The previous prime is 4561292719. The next prime is 4561292783. The reversal of 4561292736 is 6372921654.

4561292736 is a `hidden beast` number, since 4 + 5 + 612 + 9 + 27 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 4561292691 and 4561292700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15567406 + ... + 15567698.

It is an arithmetic number, because the mean of its divisors is an integer number (27182064).

Almost surely, 2^4561292736 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 4561292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133173504).

4561292736 is an abundant number, since it is smaller than the sum of its proper divisors (13705054272).

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

4561292736 is a wasteful number, since it uses less digits than its factorization.

4561292736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 4561292736 is about 67537.3432702235. The cubic root of 4561292736 is about 1658.4255570629.

The spelling of 4561292736 in words is "four billion, five hundred sixty-one million, two hundred ninety-two thousand, seven hundred thirty-six".