37128481632 has 288 divisors, whose sum is σ = 117195361920. Its totient is φ = 11056066560.

The previous prime is 37128481597. The next prime is 37128481633. The reversal of 37128481632 is 23618482173.

37128481632 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 8 + 4 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×37128481632² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37128481633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88611919 + ... + 88612337.

It is an arithmetic number, because the mean of its divisors is an integer number (406928340).

Almost surely, 2^37128481632 is an apocalyptic number.

37128481632 is a gapful number since it is divisible by the number (32) 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 37128481632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58597680960).

37128481632 is an abundant number, since it is smaller than the sum of its proper divisors (80066880288).

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

37128481632 is a wasteful number, since it uses less digits than its factorization.

37128481632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 855 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 37128481632 in words is "thirty-seven billion, one hundred twenty-eight million, four hundred eighty-one thousand, six hundred thirty-two".