37783772328960 has 1584 divisors, whose sum is σ = 159491057157120. Its totient is φ = 8100218142720.

The previous prime is 37783772328917. The next prime is 37783772328983. The reversal of 37783772328960 is 6982327738773.

37783772328960 is a `hidden beast` number, since 3 + 77 + 83 + 7 + 72 + 328 + 96 + 0 = 666.

It is a super-2 number, since 2×37783772328960² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 38126914065 + ... + 38126915055.

Almost surely, 2^{37783772328960} is an apocalyptic number.

37783772328960 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 37783772328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79745528578560).

37783772328960 is an abundant number, since it is smaller than the sum of its proper divisors (121707284828160).

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

37783772328960 is a wasteful number, since it uses less digits than its factorization.

37783772328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 37783772328960 in words is "thirty-seven trillion, seven hundred eighty-three billion, seven hundred seventy-two million, three hundred twenty-eight thousand, nine hundred sixty".