36067064192640 has 2304 divisors, whose sum is σ = 145596629243520. Its totient is φ = 8479669026816.

The previous prime is 36067064192639. The next prime is 36067064192671. The reversal of 36067064192640 is 4629146076063.

It is a happy number.

36067064192640 is a `hidden beast` number, since 3 + 606 + 7 + 0 + 6 + 4 + 1 + 9 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229726523442 + ... + 229726523598.

Almost surely, 2^{36067064192640} is an apocalyptic number.

36067064192640 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 36067064192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72798314621760).

36067064192640 is an abundant number, since it is smaller than the sum of its proper divisors (109529565050880).

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

36067064192640 is a wasteful number, since it uses less digits than its factorization.

36067064192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 36067064192640 in words is "thirty-six trillion, sixty-seven billion, sixty-four million, one hundred ninety-two thousand, six hundred forty".