67164137400 has 192 divisors, whose sum is σ = 223832102400. Its totient is φ = 16606632960.

The previous prime is 67164137393. The next prime is 67164137429. The reversal of 67164137400 is 473146176.

It is a super-2 number, since 2×67164137400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473124 + ... + 598476.

It is an arithmetic number, because the mean of its divisors is an integer number (1165792200).

Almost surely, 2^67164137400 is an apocalyptic number.

67164137400 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 67164137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111916051200).

67164137400 is an abundant number, since it is smaller than the sum of its proper divisors (156667965000).

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

67164137400 is a wasteful number, since it uses less digits than its factorization.

67164137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125438 (or 125429 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 67164137400 in words is "sixty-seven billion, one hundred sixty-four million, one hundred thirty-seven thousand, four hundred".