67706661120 has 576 divisors, whose sum is σ = 267241390080. Its totient is φ = 14261059584.

The previous prime is 67706661067. The next prime is 67706661149. The reversal of 67706661120 is 2116660776.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 18894849 + ... + 18898431.

Almost surely, 2^67706661120 is an apocalyptic number.

67706661120 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 67706661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133620695040).

67706661120 is an abundant number, since it is smaller than the sum of its proper divisors (199534728960).

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

67706661120 is a wasteful number, since it uses less digits than its factorization.

67706661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 67706661120 in words is "sixty-seven billion, seven hundred six million, six hundred sixty-one thousand, one hundred twenty".