67803667325632 has 252 divisors, whose sum is σ = 160945180757712. Its totient is φ = 28258124697600.

The previous prime is 67803667325621. The next prime is 67803667325633. The reversal of 67803667325632 is 23652376630876.

It is a super-2 number, since 2×67803667325632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (67803667325633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1639451898 + ... + 1639493254.

Almost surely, 2^{67803667325632} 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 67803667325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80472590378856).

67803667325632 is an abundant number, since it is smaller than the sum of its proper divisors (93141513432080).

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

67803667325632 is a wasteful number, since it uses less digits than its factorization.

67803667325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41776 (or 41718 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 64.

The spelling of 67803667325632 in words is "sixty-seven trillion, eight hundred three billion, six hundred sixty-seven million, three hundred twenty-five thousand, six hundred thirty-two".