67764695040 has 1248 divisors, whose sum is σ = 291785699520. Its totient is φ = 14863564800.

The previous prime is 67764695029. The next prime is 67764695041. The reversal of 67764695040 is 4059646776.

67764695040 is a `hidden beast` number, since 6 + 7 + 76 + 4 + 69 + 504 + 0 = 666.

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 (67764695041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1110896610 + ... + 1110896670.

Almost surely, 2^67764695040 is an apocalyptic number.

67764695040 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 67764695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145892849760).

67764695040 is an abundant number, since it is smaller than the sum of its proper divisors (224021004480).

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

67764695040 is a wasteful number, since it uses less digits than its factorization.

67764695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 67764695040 in words is "sixty-seven billion, seven hundred sixty-four million, six hundred ninety-five thousand, forty".