37582675104 has 96 divisors (see below), whose sum is σ = 106406879040. Its totient is φ = 11546099712.

The previous prime is 37582675099. The next prime is 37582675111. The reversal of 37582675104 is 40157628573.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799584 + ... + 845280.

It is an arithmetic number, because the mean of its divisors is an integer number (1108404990).

Almost surely, 2^37582675104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37582675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53203439520).

37582675104 is an abundant number, since it is smaller than the sum of its proper divisors (68824203936).

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

37582675104 is a wasteful number, since it uses less digits than its factorization.

37582675104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46382 (or 46374 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 37582675104 in words is "thirty-seven billion, five hundred eighty-two million, six hundred seventy-five thousand, one hundred four".