36820947684240 has 1440 divisors, whose sum is σ = 141859479340800. Its totient is φ = 8846201548800.

The previous prime is 36820947684193. The next prime is 36820947684281. The reversal of 36820947684240 is 4248674902863.

36820947684240 is a `hidden beast` number, since 3 + 6 + 82 + 0 + 9 + 476 + 8 + 42 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52526315890 + ... + 52526316590.

It is an arithmetic number, because the mean of its divisors is an integer number (98513527320).

Almost surely, 2^{36820947684240} is an apocalyptic number.

36820947684240 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 36820947684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70929739670400).

36820947684240 is an abundant number, since it is smaller than the sum of its proper divisors (105038531656560).

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

36820947684240 is a wasteful number, since it uses less digits than its factorization.

36820947684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 36820947684240 in words is "thirty-six trillion, eight hundred twenty billion, nine hundred forty-seven million, six hundred eighty-four thousand, two hundred forty".