36493968420 has 1152 divisors, whose sum is σ = 153692098560. Its totient is φ = 7054387200.

The previous prime is 36493968361. The next prime is 36493968437. The reversal of 36493968420 is 2486939463.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 361326370 + ... + 361326470.

It is an arithmetic number, because the mean of its divisors is an integer number (133413280).

Almost surely, 2^36493968420 is an apocalyptic number.

36493968420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36493968420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76846049280).

36493968420 is an abundant number, since it is smaller than the sum of its proper divisors (117198130140).

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

36493968420 is a wasteful number, since it uses less digits than its factorization.

36493968420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

36493968420 divided by its sum of digits (54) gives a triangular number (675814230 = T₃₆₇₆₄).

The spelling of 36493968420 in words is "thirty-six billion, four hundred ninety-three million, nine hundred sixty-eight thousand, four hundred twenty".