67509396864 has 1536 divisors, whose sum is σ = 278442178560. Its totient is φ = 15765995520.

The previous prime is 67509396863. The next prime is 67509396893. The reversal of 67509396864 is 46869390576.

67509396864 is a `hidden beast` number, since 6 + 7 + 509 + 3 + 9 + 68 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67509396863) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1106711394 + ... + 1106711454.

It is an arithmetic number, because the mean of its divisors is an integer number (181277460).

Almost surely, 2^67509396864 is an apocalyptic number.

67509396864 is a gapful number since it is divisible by the number (64) 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 67509396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139221089280).

67509396864 is an abundant number, since it is smaller than the sum of its proper divisors (210932781696).

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

67509396864 is a wasteful number, since it uses less digits than its factorization.

67509396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 67509396864 in words is "sixty-seven billion, five hundred nine million, three hundred ninety-six thousand, eight hundred sixty-four".