67214983680 has 1280 divisors, whose sum is σ = 281581977600. Its totient is φ = 15049359360.

The previous prime is 67214983651. The next prime is 67214983687. The reversal of 67214983680 is 8638941276.

67214983680 is a `hidden beast` number, since 6 + 72 + 1 + 498 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×67214983680² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67214983687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529251777 + ... + 529251903.

It is an arithmetic number, because the mean of its divisors is an integer number (219985920).

Almost surely, 2^67214983680 is an apocalyptic number.

67214983680 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 67214983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790988800).

67214983680 is an abundant number, since it is smaller than the sum of its proper divisors (214366993920).

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

67214983680 is a wasteful number, since it uses less digits than its factorization.

67214983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 67214983680 in words is "sixty-seven billion, two hundred fourteen million, nine hundred eighty-three thousand, six hundred eighty".