36727075840 has 264 divisors, whose sum is σ = 110379267432. Its totient is φ = 11622481920.

The previous prime is 36727075831. The next prime is 36727075907. The reversal of 36727075840 is 4857072763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7592682496 + 29134393344 = 87136^2 + 170688^2 .

It is a super-2 number, since 2×36727075840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255810 + ... + 3267070.

Almost surely, 2^36727075840 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 36727075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55189633716).

36727075840 is an abundant number, since it is smaller than the sum of its proper divisors (73652191592).

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

36727075840 is a wasteful number, since it uses less digits than its factorization.

36727075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 36727075840 in words is "thirty-six billion, seven hundred twenty-seven million, seventy-five thousand, eight hundred forty".