36959045005440 has 640 divisors, whose sum is σ = 136658665059840. Its totient is φ = 9508866048000.

The previous prime is 36959045005439. The next prime is 36959045005457. The reversal of 36959045005440 is 4450054095963.

36959045005440 is a `hidden beast` number, since 3 + 6 + 9 + 5 + 90 + 4 + 5 + 0 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 531895500 + ... + 531964980.

It is an arithmetic number, because the mean of its divisors is an integer number (213529164156).

Almost surely, 2^{36959045005440} is an apocalyptic number.

36959045005440 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 36959045005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68329332529920).

36959045005440 is an abundant number, since it is smaller than the sum of its proper divisors (99699620054400).

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

36959045005440 is a wasteful number, since it uses less digits than its factorization.

36959045005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69874 (or 69853 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 36959045005440 in words is "thirty-six trillion, nine hundred fifty-nine billion, forty-five million, five thousand, four hundred forty".