36619345137664 has 117 divisors (see below), whose sum is σ = 76570708518759. Its totient is φ = 17509339668480.

The previous prime is 36619345137637. The next prime is 36619345137707. The reversal of 36619345137664 is 46673154391663.

The square root of 36619345137664 is 6051392.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×36619345137664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36619345137596 and 36619345137605.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8907646969 + ... + 8907651079.

Almost surely, 2^{36619345137664} is an apocalyptic number.

36619345137664 is the 6051392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36619345137664

36619345137664 is an abundant number, since it is smaller than the sum of its proper divisors (39951363381095).

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

36619345137664 is an frugal number, since it uses more digits than its factorization.

36619345137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 4136 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 64.

36619345137664 divided by its sum of digits (64) gives a square (572177267776 = 756424²).

The spelling of 36619345137664 in words is "thirty-six trillion, six hundred nineteen billion, three hundred forty-five million, one hundred thirty-seven thousand, six hundred sixty-four".