6402743424 has 768 divisors, whose sum is σ = 25204608000. Its totient is φ = 1509580800.

The previous prime is 6402743411. The next prime is 6402743461. The reversal of 6402743424 is 4243472046.

6402743424 is a `hidden beast` number, since 6 + 40 + 274 + 342 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 48875839 + ... + 48875969.

It is an arithmetic number, because the mean of its divisors is an integer number (32818500).

Almost surely, 2^6402743424 is an apocalyptic number.

6402743424 is a gapful number since it is divisible by the number (64) 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 6402743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602304000).

6402743424 is an abundant number, since it is smaller than the sum of its proper divisors (18801864576).

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

6402743424 is a wasteful number, since it uses less digits than its factorization.

6402743424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 6402743424 is about 80017.1445628998. The cubic root of 6402743424 is about 1856.9007840105.

The spelling of 6402743424 in words is "six billion, four hundred two million, seven hundred forty-three thousand, four hundred twenty-four".