5436581976 has 320 divisors, whose sum is σ = 18506030400. Its totient is φ = 1457906688.

The previous prime is 5436581957. The next prime is 5436581993. The reversal of 5436581976 is 6791856345.

5436581976 is a `hidden beast` number, since 54 + 3 + 6 + 581 + 9 + 7 + 6 = 666.

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 79 ways as a sum of consecutive naturals, for example, 4866570 + ... + 4867686.

It is an arithmetic number, because the mean of its divisors is an integer number (57831345).

Almost surely, 2^5436581976 is an apocalyptic number.

5436581976 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 5436581976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253015200).

5436581976 is an abundant number, since it is smaller than the sum of its proper divisors (13069448424).

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

5436581976 is a wasteful number, since it uses less digits than its factorization.

5436581976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1195 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5436581976 is about 73733.1809703067. The cubic root of 5436581976 is about 1758.3634468542.

The spelling of 5436581976 in words is "five billion, four hundred thirty-six million, five hundred eighty-one thousand, nine hundred seventy-six".