37955745006795 has 96 divisors (see below), whose sum is σ = 85629287600640. Its totient is φ = 15773816076480.

The previous prime is 37955745006737. The next prime is 37955745006799. The reversal of 37955745006795 is 59760054755973.

37955745006795 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 57 + 4 + 500 + 67 + 9 + 5 = 666.

It is not a de Polignac number, because 37955745006795 - 2¹¹ = 37955745004747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37955745006799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260737687 + ... + 260883216.

It is an arithmetic number, because the mean of its divisors is an integer number (891971745840).

Almost surely, 2^{37955745006795} is an apocalyptic number.

37955745006795 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

37955745006795 is an abundant number, since it is smaller than the sum of its proper divisors (47673542593845).

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

37955745006795 is a wasteful number, since it uses less digits than its factorization.

37955745006795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521620942 (or 521620929 counting only the distinct ones).

The product of its (nonzero) digits is 1250235000, while the sum is 72.

The spelling of 37955745006795 in words is "thirty-seven trillion, nine hundred fifty-five billion, seven hundred forty-five million, six thousand, seven hundred ninety-five".