37769800068 has 432 divisors, whose sum is σ = 133981178240. Its totient is φ = 9053130240.

The previous prime is 37769800063. The next prime is 37769800087. The reversal of 37769800068 is 86000896773.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 37769799987 and 37769800023.

It is not an unprimeable number, because it can be changed into a prime (37769800063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10700928 + ... + 10704456.

Almost surely, 2^37769800068 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 37769800068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66990589120).

37769800068 is an abundant number, since it is smaller than the sum of its proper divisors (96211378172).

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

37769800068 is a wasteful number, since it uses less digits than its factorization.

37769800068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 37769800068 in words is "thirty-seven billion, seven hundred sixty-nine million, eight hundred thousand, sixty-eight".