36672603357075 has 288 divisors, whose sum is σ = 75070668741120. Its totient is φ = 15716432793600.

The previous prime is 36672603357011. The next prime is 36672603357079. The reversal of 36672603357075 is 57075330627663.

It is not a de Polignac number, because 36672603357075 - 2⁶ = 36672603357011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36672603357079) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1680599665 + ... + 1680621485.

It is an arithmetic number, because the mean of its divisors is an integer number (260662044240).

Almost surely, 2^{36672603357075} is an apocalyptic number.

36672603357075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36672603357075 is an abundant number, since it is smaller than the sum of its proper divisors (38398065384045).

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

36672603357075 is a wasteful number, since it uses less digits than its factorization.

36672603357075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22267 (or 22255 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 60.

The spelling of 36672603357075 in words is "thirty-six trillion, six hundred seventy-two billion, six hundred three million, three hundred fifty-seven thousand, seventy-five".