36614004768 has 576 divisors, whose sum is σ = 122276044800. Its totient is φ = 10289664000.

The previous prime is 36614004767. The next prime is 36614004797. The reversal of 36614004768 is 86740041663.

It is a happy number.

36614004768 is a `hidden beast` number, since 36 + 6 + 140 + 0 + 476 + 8 = 666.

It is a super-2 number, since 2×36614004768² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36614004767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411393268 + ... + 411393356.

It is an arithmetic number, because the mean of its divisors is an integer number (212284800).

Almost surely, 2^36614004768 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 36614004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138022400).

36614004768 is an abundant number, since it is smaller than the sum of its proper divisors (85662040032).

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

36614004768 is a wasteful number, since it uses less digits than its factorization.

36614004768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36614004768 in words is "thirty-six billion, six hundred fourteen million, four thousand, seven hundred sixty-eight".