37982533680 has 720 divisors, whose sum is σ = 166236145920. Its totient is φ = 7588878336.

The previous prime is 37982533657. The next prime is 37982533697. The reversal of 37982533680 is 8633528973.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16182267 + ... + 16184613.

It is an arithmetic number, because the mean of its divisors is an integer number (230883536).

Almost surely, 2^37982533680 is an apocalyptic number.

37982533680 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 37982533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83118072960).

37982533680 is an abundant number, since it is smaller than the sum of its proper divisors (128253612240).

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

37982533680 is a wasteful number, since it uses less digits than its factorization.

37982533680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 37982533680 in words is "thirty-seven billion, nine hundred eighty-two million, five hundred thirty-three thousand, six hundred eighty".