37263784821649 has 27 divisors (see below), whose sum is σ = 39807891941097. Its totient is φ = 34879067705064.

The previous prime is 37263784821583. The next prime is 37263784821709. The reversal of 37263784821649 is 94612848736273.

The square root of 37263784821649 is 6104407.

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

It is not a de Polignac number, because 37263784821649 - 2⁷ = 37263784821521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37263784821049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6598861144 + ... + 6598866790.

Almost surely, 2^{37263784821649} is an apocalyptic number.

37263784821649 is the 6104407-th square number.

37263784821649 is the 3052204-th centered octagonal number.

It is an amenable number.

37263784821649 is a deficient number, since it is larger than the sum of its proper divisors (2544107119448).

37263784821649 is an frugal number, since it uses more digits than its factorization.

37263784821649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 5717 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 70.

The spelling of 37263784821649 in words is "thirty-seven trillion, two hundred sixty-three billion, seven hundred eighty-four million, eight hundred twenty-one thousand, six hundred forty-nine".