36679399547904 has 495 divisors, whose sum is σ = 116448048921963. Its totient is φ = 11497960046592.

The previous prime is 36679399547821. The next prime is 36679399547983. The reversal of 36679399547904 is 40974599397663.

The square root of 36679399547904 is 6056352.

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

36679399547904 is a `hidden beast` number, since 3 + 6 + 67 + 9 + 3 + 9 + 9 + 547 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10458445538304 + 26220954009600 = 3233952^2 + 5120640^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29651898774 + ... + 29651900010.

Almost surely, 2^{36679399547904} is an apocalyptic number.

36679399547904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36679399547904 is the 6056352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36679399547904

36679399547904 is an abundant number, since it is smaller than the sum of its proper divisors (79768649374059).

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

36679399547904 is an frugal number, since it uses more digits than its factorization.

36679399547904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 8332994880, while the sum is 81.

36679399547904 divided by its sum of digits (81) gives a square (452832093184 = 672928²).

The spelling of 36679399547904 in words is "thirty-six trillion, six hundred seventy-nine billion, three hundred ninety-nine million, five hundred forty-seven thousand, nine hundred four".