67538534400 has 720 divisors, whose sum is σ = 257438522880. Its totient is φ = 17340825600.

The previous prime is 67538534389. The next prime is 67538534423. The reversal of 67538534400 is 443583576.

67538534400 is a `hidden beast` number, since 6 + 75 + 3 + 8 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×67538534400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 342835102 + ... + 342835298.

It is an arithmetic number, because the mean of its divisors is an integer number (357553504).

Almost surely, 2^67538534400 is an apocalyptic number.

67538534400 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 67538534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128719261440).

67538534400 is an abundant number, since it is smaller than the sum of its proper divisors (189899988480).

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

67538534400 is a wasteful number, since it uses less digits than its factorization.

67538534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 67538534400 in words is "sixty-seven billion, five hundred thirty-eight million, five hundred thirty-four thousand, four hundred".