67690909440 has 1440 divisors, whose sum is σ = 309135214080. Its totient is φ = 13735526400.

The previous prime is 67690909343. The next prime is 67690909441. The reversal of 67690909440 is 4490909676.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×67690909440² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67690909441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 486984891 + ... + 486985029.

It is an arithmetic number, because the mean of its divisors is an integer number (214677232).

Almost surely, 2^67690909440 is an apocalyptic number.

67690909440 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 67690909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154567607040).

67690909440 is an abundant number, since it is smaller than the sum of its proper divisors (241444304640).

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

67690909440 is a wasteful number, since it uses less digits than its factorization.

67690909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 67690909440 in words is "sixty-seven billion, six hundred ninety million, nine hundred nine thousand, four hundred forty".