67275479040 has 1152 divisors, whose sum is σ = 290405606400. Its totient is φ = 13101957120.

The previous prime is 67275479039. The next prime is 67275479059. The reversal of 67275479040 is 4097457276.

It is a super-2 number, since 2×67275479040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281487241 + ... + 281487479.

It is an arithmetic number, because the mean of its divisors is an integer number (252088200).

Almost surely, 2^67275479040 is an apocalyptic number.

67275479040 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 67275479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145202803200).

67275479040 is an abundant number, since it is smaller than the sum of its proper divisors (223130127360).

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

67275479040 is a wasteful number, since it uses less digits than its factorization.

67275479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 67275479040 in words is "sixty-seven billion, two hundred seventy-five million, four hundred seventy-nine thousand, forty".