37765748538 has 144 divisors (see below), whose sum is σ = 97704157824. Its totient is φ = 10505738880.

The previous prime is 37765748507. The next prime is 37765748551. The reversal of 37765748538 is 83584756773.

37765748538 is a `hidden beast` number, since 3 + 7 + 7 + 6 + 57 + 48 + 538 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28458831 + ... + 28460157.

It is an arithmetic number, because the mean of its divisors is an integer number (678501096).

Almost surely, 2^37765748538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37765748538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48852078912).

37765748538 is an abundant number, since it is smaller than the sum of its proper divisors (59938409286).

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

37765748538 is a wasteful number, since it uses less digits than its factorization.

37765748538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2167 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 37765748538 in words is "thirty-seven billion, seven hundred sixty-five million, seven hundred forty-eight thousand, five hundred thirty-eight".