37728054000 has 960 divisors, whose sum is σ = 167637270528. Its totient is φ = 7693056000.

The previous prime is 37728053953. The next prime is 37728054047. The reversal of 37728054000 is 45082773.

37728054000 is a `hidden beast` number, since 37 + 7 + 2 + 80 + 540 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (37728053953) and next prime (37728054047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50777629 + ... + 50778371.

Almost surely, 2^37728054000 is an apocalyptic number.

37728054000 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 37728054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83818635264).

37728054000 is an abundant number, since it is smaller than the sum of its proper divisors (129909216528).

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

37728054000 is a wasteful number, since it uses less digits than its factorization.

37728054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 37728054000 in words is "thirty-seven billion, seven hundred twenty-eight million, fifty-four thousand".