6767670000 has 800 divisors, whose sum is σ = 28027428352. Its totient is φ = 1368576000.

The previous prime is 6767669981. The next prime is 6767670001. The reversal of 6767670000 is 767676.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6767670001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101009967 + ... + 101010033.

Almost surely, 2^6767670000 is an apocalyptic number.

6767670000 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 6767670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013714176).

6767670000 is an abundant number, since it is smaller than the sum of its proper divisors (21259758352).

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

6767670000 is a wasteful number, since it uses less digits than its factorization.

6767670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 6767670000 is about 82265.8495367306. The cubic root of 6767670000 is about 1891.5292346050.

The spelling of 6767670000 in words is "six billion, seven hundred sixty-seven million, six hundred seventy thousand".