65697667031040 has 448 divisors, whose sum is σ = 229398410627712. Its totient is φ = 15921997414400.

The previous prime is 65697667031027. The next prime is 65697667031111. The reversal of 65697667031040 is 4013076679656.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354486414 + ... + 7354495346.

Almost surely, 2^{65697667031040} is an apocalyptic number.

65697667031040 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 65697667031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114699205313856).

65697667031040 is an abundant number, since it is smaller than the sum of its proper divisors (163700743596672).

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

65697667031040 is a wasteful number, since it uses less digits than its factorization.

65697667031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14395 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 65697667031040 in words is "sixty-five trillion, six hundred ninety-seven billion, six hundred sixty-seven million, thirty-one thousand, forty".