6403416480 has 144 divisors (see below), whose sum is σ = 23001844320. Its totient is φ = 1617698304.

The previous prime is 6403416473. The next prime is 6403416493. The reversal of 6403416480 is 846143046.

6403416480 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 4 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×6403416480³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89662 + ... + 144381.

It is an arithmetic number, because the mean of its divisors is an integer number (159735030).

Almost surely, 2^6403416480 is an apocalyptic number.

6403416480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6403416480 is an abundant number, since it is smaller than the sum of its proper divisors (16598427840).

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

6403416480 is a wasteful number, since it uses less digits than its factorization.

6403416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234083 (or 234072 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6403416480 is about 80021.3501510691. The cubic root of 6403416480 is about 1856.9658474967.

The spelling of 6403416480 in words is "six billion, four hundred three million, four hundred sixteen thousand, four hundred eighty".