6403020624 has 960 divisors, whose sum is σ = 26664007680. Its totient is φ = 1423319040.

The previous prime is 6403020599. The next prime is 6403020661. The reversal of 6403020624 is 4260203046.

6403020624 is a `hidden beast` number, since 6 + 4 + 0 + 30 + 2 + 0 + 624 = 666.

It is a super-2 number, since 2×6403020624² = 81997346222738698752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95567439 + ... + 95567505.

It is an arithmetic number, because the mean of its divisors is an integer number (27775008).

Almost surely, 2^6403020624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403020624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332003840).

6403020624 is an abundant number, since it is smaller than the sum of its proper divisors (20260987056).

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

6403020624 is a wasteful number, since it uses less digits than its factorization.

6403020624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6403020624 is about 80018.8766729451. The cubic root of 6403020624 is about 1856.9275811419.

The spelling of 6403020624 in words is "six billion, four hundred three million, twenty thousand, six hundred twenty-four".