67953541040 has 960 divisors, whose sum is σ = 230235264000. Its totient is φ = 18424627200.

The previous prime is 67953541031. The next prime is 67953541049. The reversal of 67953541040 is 4014535976.

It is a Cunningham number, because it is equal to 260679²-1.

It is an interprime number because it is at equal distance from previous prime (67953541031) and next prime (67953541049).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 67953540982 and 67953541000.

It is not an unprimeable number, because it can be changed into a prime (67953541049) 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, 1657403420 + ... + 1657403460.

It is an arithmetic number, because the mean of its divisors is an integer number (239828400).

Almost surely, 2^67953541040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67953541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117632000).

67953541040 is an abundant number, since it is smaller than the sum of its proper divisors (162281722960).

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

67953541040 is a wasteful number, since it uses less digits than its factorization.

67953541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 67953541040 in words is "sixty-seven billion, nine hundred fifty-three million, five hundred forty-one thousand, forty".