37802106768 has 80 divisors (see below), whose sum is σ = 100519280640. Its totient is φ = 12235402368.

The previous prime is 37802106761. The next prime is 37802106779. The reversal of 37802106768 is 86760120873.

37802106768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (37802106761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220543 + ... + 352481.

It is an arithmetic number, because the mean of its divisors is an integer number (1256491008).

Almost surely, 2^37802106768 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 37802106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50259640320).

37802106768 is an abundant number, since it is smaller than the sum of its proper divisors (62717173872).

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

37802106768 is a wasteful number, since it uses less digits than its factorization.

37802106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132124 (or 132118 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 37802106768 in words is "thirty-seven billion, eight hundred two million, one hundred six thousand, seven hundred sixty-eight".