37788660000 has 960 divisors, whose sum is σ = 169730668800. Its totient is φ = 7962624000.

The previous prime is 37788659999. The next prime is 37788660059. The reversal of 37788660000 is 6688773.

37788660000 is a `hidden beast` number, since 37 + 7 + 8 + 8 + 6 + 600 + 0 + 0 = 666.

It is a super-3 number, since 3×37788660000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49139616 + ... + 49140384.

It is an arithmetic number, because the mean of its divisors is an integer number (176802780).

Almost surely, 2^37788660000 is an apocalyptic number.

37788660000 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 37788660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84865334400).

37788660000 is an abundant number, since it is smaller than the sum of its proper divisors (131942008800).

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

37788660000 is a wasteful number, since it uses less digits than its factorization.

37788660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 37788660000 in words is "thirty-seven billion, seven hundred eighty-eight million, six hundred sixty thousand".