36737256786048 has 2048 divisors, whose sum is σ = 143791054848000. Its totient is φ = 8970325917696.

The previous prime is 36737256785953. The next prime is 36737256786059. The reversal of 36737256786048 is 84068765273763.

It is a happy number.

36737256786048 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 7 + 2 + 5 + 6 + 7 + 8 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30286278690 + ... + 30286279902.

It is an arithmetic number, because the mean of its divisors is an integer number (70210476000).

Almost surely, 2^{36737256786048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36737256786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71895527424000).

36737256786048 is an abundant number, since it is smaller than the sum of its proper divisors (107053798061952).

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

36737256786048 is a wasteful number, since it uses less digits than its factorization.

36737256786048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 36737256786048 in words is "thirty-six trillion, seven hundred thirty-seven billion, two hundred fifty-six million, seven hundred eighty-six thousand, forty-eight".