39784253642496 has 360 divisors, whose sum is σ = 130748177864304. Its totient is φ = 11931540848640.

The previous prime is 39784253642461. The next prime is 39784253642501. The reversal of 39784253642496 is 69424635248793.

It is a happy number.

39784253642496 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 4 + 2 + 536 + 42 + 49 + 6 = 666.

It is a super-2 number, since 2×39784253642496² (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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21226246 + ... + 23024378.

Almost surely, 2^{39784253642496} is an apocalyptic number.

39784253642496 is a gapful number since it is divisible by the number (36) 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 39784253642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65374088932152).

39784253642496 is an abundant number, since it is smaller than the sum of its proper divisors (90963924221808).

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

39784253642496 is a wasteful number, since it uses less digits than its factorization.

39784253642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798269 (or 1798246 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 39784253642496 in words is "thirty-nine trillion, seven hundred eighty-four billion, two hundred fifty-three million, six hundred forty-two thousand, four hundred ninety-six".