37824278940864 has 224 divisors, whose sum is σ = 120071014965440. Its totient is φ = 11607035387904.

The previous prime is 37824278940823. The next prime is 37824278940887. The reversal of 37824278940864 is 46804987242873.

37824278940864 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 427 + 89 + 40 + 86 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37824278940792 and 37824278940801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6122004 + ... + 10636140.

It is an arithmetic number, because the mean of its divisors is an integer number (536031316810).

Almost surely, 2^{37824278940864} 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 37824278940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60035507482720).

37824278940864 is an abundant number, since it is smaller than the sum of its proper divisors (82246736024576).

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

37824278940864 is a wasteful number, since it uses less digits than its factorization.

37824278940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514544 (or 4514528 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 37824278940864 in words is "thirty-seven trillion, eight hundred twenty-four billion, two hundred seventy-eight million, nine hundred forty thousand, eight hundred sixty-four".