37680000000 has 352 divisors, whose sum is σ = 126337957824. Its totient is φ = 9984000000.

The previous prime is 37679999963. The next prime is 37680000011. The reversal of 37680000000 is 8673.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239999922 + ... + 240000078.

Almost surely, 2^37680000000 is an apocalyptic number.

37680000000 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 37680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63168978912).

37680000000 is an abundant number, since it is smaller than the sum of its proper divisors (88657957824).

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

37680000000 is an frugal number, since it uses more digits than its factorization.

37680000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 37680000000 its reverse (8673), we get a palindrome (37680008673).

The spelling of 37680000000 in words is "thirty-seven billion, six hundred eighty million", and thus it is an aban number.