37728478080 has 640 divisors, whose sum is σ = 147369404160. Its totient is φ = 9157017600.

The previous prime is 37728478079. The next prime is 37728478153. The reversal of 37728478080 is 8087482773.

It is a happy number.

37728478080 is a `hidden beast` number, since 3 + 77 + 28 + 478 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27318990 + ... + 27320370.

It is an arithmetic number, because the mean of its divisors is an integer number (230264694).

Almost surely, 2^37728478080 is an apocalyptic number.

37728478080 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 37728478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73684702080).

37728478080 is an abundant number, since it is smaller than the sum of its proper divisors (109640926080).

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

37728478080 is a wasteful number, since it uses less digits than its factorization.

37728478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 37728478080 in words is "thirty-seven billion, seven hundred twenty-eight million, four hundred seventy-eight thousand, eighty".