37245493682496 has 1008 divisors, whose sum is σ = 131048891064000. Its totient is φ = 10043377090560.

The previous prime is 37245493682459. The next prime is 37245493682497. The reversal of 37245493682496 is 69428639454273.

It is a happy number.

37245493682496 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 54 + 9 + 3 + 6 + 82 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37245493682497) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13799736955 + ... + 13799739653.

It is an arithmetic number, because the mean of its divisors is an integer number (130008820500).

Almost surely, 2^{37245493682496} is an apocalyptic number.

37245493682496 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 37245493682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65524445532000).

37245493682496 is an abundant number, since it is smaller than the sum of its proper divisors (93803397381504).

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

37245493682496 is a wasteful number, since it uses less digits than its factorization.

37245493682496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3364 counting only the distinct ones).

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

The spelling of 37245493682496 in words is "thirty-seven trillion, two hundred forty-five billion, four hundred ninety-three million, six hundred eighty-two thousand, four hundred ninety-six".