67725849600 has 924 divisors, whose sum is σ = 266336643840. Its totient is φ = 17020108800.

The previous prime is 67725849559. The next prime is 67725849601. The reversal of 67725849600 is 694852776.

67725849600 is a `hidden beast` number, since 6 + 7 + 7 + 25 + 8 + 4 + 9 + 600 = 666.

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 (67725849601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 354585505 + ... + 354585695.

Almost surely, 2^67725849600 is an apocalyptic number.

67725849600 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 67725849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133168321920).

67725849600 is an abundant number, since it is smaller than the sum of its proper divisors (198610794240).

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

67725849600 is a wasteful number, since it uses less digits than its factorization.

67725849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 67725849600 in words is "sixty-seven billion, seven hundred twenty-five million, eight hundred forty-nine thousand, six hundred".