5036746349376 has 2016 divisors, whose sum is σ = 19166244185088. Its totient is φ = 1303650754560.

The previous prime is 5036746349281. The next prime is 5036746349443. The reversal of 5036746349376 is 6739436476305.

5036746349376 is a `hidden beast` number, since 5 + 0 + 3 + 6 + 74 + 6 + 3 + 493 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 30900284271 + ... + 30900284433.

It is an arithmetic number, because the mean of its divisors is an integer number (9507065568).

Almost surely, 2^{5036746349376} is an apocalyptic number.

5036746349376 is a gapful number since it is divisible by the number (56) 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 5036746349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583122092544).

5036746349376 is an abundant number, since it is smaller than the sum of its proper divisors (14129497835712).

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

5036746349376 is a wasteful number, since it uses less digits than its factorization.

5036746349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 63.

The spelling of 5036746349376 in words is "five trillion, thirty-six billion, seven hundred forty-six million, three hundred forty-nine thousand, three hundred seventy-six".