67670505000 has 640 divisors, whose sum is σ = 271488096000. Its totient is φ = 15292800000.

The previous prime is 67670504977. The next prime is 67670505029. The reversal of 67670505000 is 50507676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95444646 + ... + 95445354.

It is an arithmetic number, because the mean of its divisors is an integer number (424200150).

Almost surely, 2^67670505000 is an apocalyptic number.

67670505000 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 67670505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135744048000).

67670505000 is an abundant number, since it is smaller than the sum of its proper divisors (203817591000).

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

67670505000 is a wasteful number, since it uses less digits than its factorization.

67670505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 67670505000 in words is "sixty-seven billion, six hundred seventy million, five hundred five thousand".