67379251680 has 384 divisors, whose sum is σ = 257199667200. Its totient is φ = 16374638592.

The previous prime is 67379251669. The next prime is 67379251699. The reversal of 67379251680 is 8615297376.

67379251680 is a `hidden beast` number, since 6 + 7 + 37 + 92 + 516 + 8 + 0 = 666.

67379251680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4429047 + ... + 4444233.

It is an arithmetic number, because the mean of its divisors is an integer number (669790800).

Almost surely, 2^67379251680 is an apocalyptic number.

67379251680 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 67379251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128599833600).

67379251680 is an abundant number, since it is smaller than the sum of its proper divisors (189820415520).

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

67379251680 is a wasteful number, since it uses less digits than its factorization.

67379251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 67379251680 in words is "sixty-seven billion, three hundred seventy-nine million, two hundred fifty-one thousand, six hundred eighty".