67709952000 has 896 divisors, whose sum is σ = 261708595200. Its totient is φ = 17252352000.

The previous prime is 67709951987. The next prime is 67709952017. The reversal of 67709952000 is 25990776.

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

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, 857087961 + ... + 857088039.

Almost surely, 2^67709952000 is an apocalyptic number.

67709952000 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 67709952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130854297600).

67709952000 is an abundant number, since it is smaller than the sum of its proper divisors (193998643200).

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

67709952000 is an equidigital number, since it uses as much as digits as its factorization.

67709952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 67709952000 in words is "sixty-seven billion, seven hundred nine million, nine hundred fifty-two thousand".