6429062640 has 480 divisors, whose sum is σ = 27244256256. Its totient is φ = 1232824320.

The previous prime is 6429062593. The next prime is 6429062659. The reversal of 6429062640 is 462609246.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1679769 + ... + 1683591.

Almost surely, 2^6429062640 is an apocalyptic number.

6429062640 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 6429062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622128128).

6429062640 is an abundant number, since it is smaller than the sum of its proper divisors (20815193616).

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

6429062640 is a wasteful number, since it uses less digits than its factorization.

6429062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 6429062640 is about 80181.4357566638. The cubic root of 6429062640 is about 1859.4416407027.

It can be divided in two parts, 642906 and 2640, that added together give a palindrome (645546).

The spelling of 6429062640 in words is "six billion, four hundred twenty-nine million, sixty-two thousand, six hundred forty".