5436794880 has 576 divisors, whose sum is σ = 21341698560. Its totient is φ = 1268121600.

The previous prime is 5436794879. The next prime is 5436794893. The reversal of 5436794880 is 884976345.

5436794880 is a `hidden beast` number, since 543 + 6 + 7 + 94 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31426474 + ... + 31426646.

It is an arithmetic number, because the mean of its divisors is an integer number (37051560).

Almost surely, 2^5436794880 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 5436794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670849280).

5436794880 is an abundant number, since it is smaller than the sum of its proper divisors (15904903680).

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

5436794880 is a wasteful number, since it uses less digits than its factorization.

5436794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5436794880 is about 73734.6247023744. The cubic root of 5436794880 is about 1758.3863998619.

The spelling of 5436794880 in words is "five billion, four hundred thirty-six million, seven hundred ninety-four thousand, eight hundred eighty".