36951726579040 has 384 divisors, whose sum is σ = 110373127200000. Its totient is φ = 11616091619328.

The previous prime is 36951726579013. The next prime is 36951726579041. The reversal of 36951726579040 is 4097562715963.

36951726579040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36951726579041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106128756 + ... + 106476364.

It is an arithmetic number, because the mean of its divisors is an integer number (287430018750).

Almost surely, 2^{36951726579040} 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 36951726579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55186563600000).

36951726579040 is an abundant number, since it is smaller than the sum of its proper divisors (73421400620960).

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

36951726579040 is a wasteful number, since it uses less digits than its factorization.

36951726579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347807 (or 347785 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

The spelling of 36951726579040 in words is "thirty-six trillion, nine hundred fifty-one billion, seven hundred twenty-six million, five hundred seventy-nine thousand, forty".