67429203840 has 512 divisors, whose sum is σ = 248520960000. Its totient is φ = 17257734144.

The previous prime is 67429203839. The next prime is 67429203883. The reversal of 67429203840 is 4830292476.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119767399 + ... + 119767961.

It is an arithmetic number, because the mean of its divisors is an integer number (485392500).

Almost surely, 2^67429203840 is an apocalyptic number.

67429203840 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 67429203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260480000).

67429203840 is an abundant number, since it is smaller than the sum of its proper divisors (181091756160).

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

67429203840 is a wasteful number, since it uses less digits than its factorization.

67429203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 67429203840 in words is "sixty-seven billion, four hundred twenty-nine million, two hundred three thousand, eight hundred forty".