6514152480 has 432 divisors, whose sum is σ = 25778922624. Its totient is φ = 1485250560.

The previous prime is 6514152443. The next prime is 6514152493. The reversal of 6514152480 is 842514156.

It is a happy number.

6514152480 is a `hidden beast` number, since 6 + 51 + 4 + 1 + 524 + 80 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4577049 + ... + 4578471.

It is an arithmetic number, because the mean of its divisors is an integer number (59673432).

Almost surely, 2^6514152480 is an apocalyptic number.

6514152480 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 6514152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889461312).

6514152480 is an abundant number, since it is smaller than the sum of its proper divisors (19264770144).

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

6514152480 is a wasteful number, since it uses less digits than its factorization.

6514152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6514152480 is about 80710.2997144726. The cubic root of 6514152480 is about 1867.6090655269.

The spelling of 6514152480 in words is "six billion, five hundred fourteen million, one hundred fifty-two thousand, four hundred eighty".