7278264000 has 504 divisors, whose sum is σ = 30300948288. Its totient is φ = 1662796800.

The previous prime is 7278263987. The next prime is 7278264001. The reversal of 7278264000 is 4628727.

7278264000 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (7278264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3526969 + ... + 3529031.

Almost surely, 2^7278264000 is an apocalyptic number.

7278264000 is a gapful number since it is divisible by the number (70) 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 7278264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150474144).

7278264000 is an abundant number, since it is smaller than the sum of its proper divisors (23022684288).

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

7278264000 is a wasteful number, since it uses less digits than its factorization.

7278264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7278264000 is about 85312.7423073482. The cubic root of 7278264000 is about 1937.9501500020.

The spelling of 7278264000 in words is "seven billion, two hundred seventy-eight million, two hundred sixty-four thousand".