67561819740 has 288 divisors, whose sum is σ = 222424989696. Its totient is φ = 17193669120.

The previous prime is 67561819711. The next prime is 67561819757. The reversal of 67561819740 is 4791816576.

67561819740 is a `hidden beast` number, since 6 + 7 + 5 + 618 + 19 + 7 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10995109 + ... + 11001251.

It is an arithmetic number, because the mean of its divisors is an integer number (772308992).

Almost surely, 2^67561819740 is an apocalyptic number.

67561819740 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 67561819740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111212494848).

67561819740 is an abundant number, since it is smaller than the sum of its proper divisors (154863169956).

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

67561819740 is a wasteful number, since it uses less digits than its factorization.

67561819740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 67561819740 in words is "sixty-seven billion, five hundred sixty-one million, eight hundred nineteen thousand, seven hundred forty".