67090842000 has 1920 divisors, whose sum is σ = 314657860608. Its totient is φ = 13436928000.

The previous prime is 67090841969. The next prime is 67090842029. The reversal of 67090842000 is 24809076.

67090842000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1636361980 + ... + 1636362020.

Almost surely, 2^67090842000 is an apocalyptic number.

67090842000 is a gapful number since it is divisible by the number (60) 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 67090842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157328930304).

67090842000 is an abundant number, since it is smaller than the sum of its proper divisors (247567018608).

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

67090842000 is a wasteful number, since it uses less digits than its factorization.

67090842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 67090842000 in words is "sixty-seven billion, ninety million, eight hundred forty-two thousand".