36616406401 has 8 divisors (see below), whose sum is σ = 36688290408. Its totient is φ = 36544560000.

The previous prime is 36616406389. The next prime is 36616406441. The reversal of 36616406401 is 10460461663.

It can be written as a sum of positive squares in 4 ways, for example, as 18713966401 + 17902440000 = 136799^2 + 133800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36616406401 - 2¹⁹ = 36615882113 is a prime.

It is a super-2 number, since 2×36616406401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36616406441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2650131 + ... + 2663911.

It is an arithmetic number, because the mean of its divisors is an integer number (4586036301).

Almost surely, 2^36616406401 is an apocalyptic number.

It is an amenable number.

36616406401 is a deficient number, since it is larger than the sum of its proper divisors (71884007).

36616406401 is a wasteful number, since it uses less digits than its factorization.

36616406401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 36616406401 in words is "thirty-six billion, six hundred sixteen million, four hundred six thousand, four hundred one".