67669880091552 has 864 divisors, whose sum is σ = 222915513300480. Its totient is φ = 19373603880960.

The previous prime is 67669880091551. The next prime is 67669880091577. The reversal of 67669880091552 is 25519008896676.

67669880091552 is a `hidden beast` number, since 6 + 7 + 6 + 69 + 8 + 8 + 0 + 0 + 9 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (67669880091551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5488669324 + ... + 5488681652.

It is an arithmetic number, because the mean of its divisors is an integer number (258004066320).

Almost surely, 2^{67669880091552} is an apocalyptic number.

67669880091552 is a gapful number since it is divisible by the number (62) 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 67669880091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111457756650240).

67669880091552 is an abundant number, since it is smaller than the sum of its proper divisors (155245633208928).

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

67669880091552 is a wasteful number, since it uses less digits than its factorization.

67669880091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 67669880091552 in words is "sixty-seven trillion, six hundred sixty-nine billion, eight hundred eighty million, ninety-one thousand, five hundred fifty-two".