5438736576 has 672 divisors, whose sum is σ = 20609722560. Its totient is φ = 1410877440.

The previous prime is 5438736557. The next prime is 5438736599. The reversal of 5438736576 is 6756378345.

5438736576 is a `hidden beast` number, since 5 + 4 + 38 + 7 + 36 + 576 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 89159586 + ... + 89159646.

It is an arithmetic number, because the mean of its divisors is an integer number (30669230).

Almost surely, 2^5438736576 is an apocalyptic number.

5438736576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438736576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304861280).

5438736576 is an abundant number, since it is smaller than the sum of its proper divisors (15170985984).

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

5438736576 is an equidigital number, since it uses as much as digits as its factorization.

5438736576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 5438736576 is about 73747.7903126595. The cubic root of 5438736576 is about 1758.5957048869.

The spelling of 5438736576 in words is "five billion, four hundred thirty-eight million, seven hundred thirty-six thousand, five hundred seventy-six".