37252085760 has 384 divisors, whose sum is σ = 134462764800. Its totient is φ = 9780756480.

The previous prime is 37252085711. The next prime is 37252085863. The reversal of 37252085760 is 6758025273.

37252085760 is a `hidden beast` number, since 3 + 72 + 5 + 2 + 0 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18523155 + ... + 18525165.

It is an arithmetic number, because the mean of its divisors is an integer number (350163450).

Almost surely, 2^37252085760 is an apocalyptic number.

37252085760 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 37252085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67231382400).

37252085760 is an abundant number, since it is smaller than the sum of its proper divisors (97210679040).

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

37252085760 is a wasteful number, since it uses less digits than its factorization.

37252085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 37252085760 in words is "thirty-seven billion, two hundred fifty-two million, eighty-five thousand, seven hundred sixty".