37282775040 has 864 divisors, whose sum is σ = 157789114560. Its totient is φ = 8323596288.

The previous prime is 37282775027. The next prime is 37282775041. The reversal of 37282775040 is 4057728273.

37282775040 is a `hidden beast` number, since 3 + 72 + 8 + 2 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (37282775041) 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, 867041259 + ... + 867041301.

It is an arithmetic number, because the mean of its divisors is an integer number (182626290).

Almost surely, 2^37282775040 is an apocalyptic number.

37282775040 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 37282775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78894557280).

37282775040 is an abundant number, since it is smaller than the sum of its proper divisors (120506339520).

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

37282775040 is an frugal number, since it uses more digits than its factorization.

37282775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 37282775040 in words is "thirty-seven billion, two hundred eighty-two million, seven hundred seventy-five thousand, forty".