64509480 has 384 divisors, whose sum is σ = 265939200. Its totient is φ = 13837824.

The previous prime is 64509461. The next prime is 64509491. The reversal of 64509480 is 8490546.

64509480 is a `hidden beast` number, since 645 + 0 + 9 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×64509480² = 8322946019740800, which contains 22 as substring.

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

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, 1217134 + ... + 1217186.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 2^64509480 is an apocalyptic number.

64509480 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 64509480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

64509480 is an abundant number, since it is smaller than the sum of its proper divisors (201429720).

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

64509480 is a wasteful number, since it uses less digits than its factorization.

64509480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64509480 is about 8031.7793794401. The cubic root of 64509480 is about 401.0586125438.

The spelling of 64509480 in words is "sixty-four million, five hundred nine thousand, four hundred eighty".