67988622240 has 1152 divisors, whose sum is σ = 316798594560. Its totient is φ = 13284311040.

The previous prime is 67988622217. The next prime is 67988622301. The reversal of 67988622240 is 4222688976.

67988622240 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 8 + 622 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62203134 + ... + 62204226.

It is an arithmetic number, because the mean of its divisors is an integer number (274998780).

Almost surely, 2^67988622240 is an apocalyptic number.

67988622240 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 67988622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158399297280).

67988622240 is an abundant number, since it is smaller than the sum of its proper divisors (248809972320).

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

67988622240 is a wasteful number, since it uses less digits than its factorization.

67988622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 67988622240 in words is "sixty-seven billion, nine hundred eighty-eight million, six hundred twenty-two thousand, two hundred forty".