67407762240 has 672 divisors, whose sum is σ = 300400638720. Its totient is φ = 13472759808.

The previous prime is 67407762239. The next prime is 67407762241. The reversal of 67407762240 is 4226770476.

It is an interprime number because it is at equal distance from previous prime (67407762239) and next prime (67407762241).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67407762241) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4972752 + ... + 4986288.

It is an arithmetic number, because the mean of its divisors is an integer number (447024760).

Almost surely, 2^67407762240 is an apocalyptic number.

67407762240 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 67407762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150200319360).

67407762240 is an abundant number, since it is smaller than the sum of its proper divisors (232992876480).

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

67407762240 is a wasteful number, since it uses less digits than its factorization.

67407762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13599 (or 13586 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 67407762240 in words is "sixty-seven billion, four hundred seven million, seven hundred sixty-two thousand, two hundred forty".