6275364480 has 384 divisors, whose sum is σ = 27018576000. Its totient is φ = 1303879680.

The previous prime is 6275364467. The next prime is 6275364493. The reversal of 6275364480 is 844635726.

6275364480 is a `hidden beast` number, since 62 + 7 + 53 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6275364467) and next prime (6275364493).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436446 + ... + 450594.

It is an arithmetic number, because the mean of its divisors is an integer number (70360875).

Almost surely, 2^6275364480 is an apocalyptic number.

6275364480 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 6275364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509288000).

6275364480 is an abundant number, since it is smaller than the sum of its proper divisors (20743211520).

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

6275364480 is a wasteful number, since it uses less digits than its factorization.

6275364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6275364480 is about 79217.1981327287. The cubic root of 6275364480 is about 1844.5042138446.

The spelling of 6275364480 in words is "six billion, two hundred seventy-five million, three hundred sixty-four thousand, four hundred eighty".