646356480 has 320 divisors, whose sum is σ = 2578549248. Its totient is φ = 134184960.

The previous prime is 646356461. The next prime is 646356499. The reversal of 646356480 is 84653646.

It is an interprime number because it is at equal distance from previous prime (646356461) and next prime (646356499).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590814 + ... + 591906.

Almost surely, 2^646356480 is an apocalyptic number.

646356480 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 646356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289274624).

646356480 is an abundant number, since it is smaller than the sum of its proper divisors (1932192768).

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

646356480 is a wasteful number, since it uses less digits than its factorization.

646356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 646356480 is about 25423.5418460922. The cubic root of 646356480 is about 864.6175283493.

The spelling of 646356480 in words is "six hundred forty-six million, three hundred fifty-six thousand, four hundred eighty".