67749070032 has 600 divisors, whose sum is σ = 244343140800. Its totient is φ = 17703152640.

The previous prime is 67749070003. The next prime is 67749070079. The reversal of 67749070032 is 23007094776.

It is a happy number.

67749070032 is a `hidden beast` number, since 67 + 7 + 490 + 70 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67749070032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 165645444 + ... + 165645852.

It is an arithmetic number, because the mean of its divisors is an integer number (407238568).

Almost surely, 2^67749070032 is an apocalyptic number.

67749070032 is a gapful number since it is divisible by the number (62) 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 67749070032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122171570400).

67749070032 is an abundant number, since it is smaller than the sum of its proper divisors (176594070768).

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

67749070032 is a wasteful number, since it uses less digits than its factorization.

67749070032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 67749070032 in words is "sixty-seven billion, seven hundred forty-nine million, seventy thousand, thirty-two".