36540167040 has 1024 divisors, whose sum is σ = 148055040000. Its totient is φ = 8453652480.

The previous prime is 36540167029. The next prime is 36540167051. The reversal of 36540167040 is 4076104563.

It is a happy number.

36540167040 is a `hidden beast` number, since 3 + 6 + 540 + 1 + 6 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (36540167029) and next prime (36540167051).

It is a super-2 number, since 2×36540167040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36540166986 and 36540167004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 462533721 + ... + 462533799.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 2^36540167040 is an apocalyptic number.

36540167040 is a gapful number since it is divisible by the number (30) 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 36540167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520000).

36540167040 is an abundant number, since it is smaller than the sum of its proper divisors (111514872960).

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

36540167040 is a wasteful number, since it uses less digits than its factorization.

36540167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 36540167040 in words is "thirty-six billion, five hundred forty million, one hundred sixty-seven thousand, forty".