7472854368 has 288 divisors, whose sum is σ = 25510464000. Its totient is φ = 2121977088.

The previous prime is 7472854343. The next prime is 7472854379. The reversal of 7472854368 is 8634582747.

7472854368 is a `hidden beast` number, since 74 + 7 + 28 + 543 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 8424421 + ... + 8425307.

It is an arithmetic number, because the mean of its divisors is an integer number (88578000).

Almost surely, 2^7472854368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7472854368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232000).

7472854368 is an abundant number, since it is smaller than the sum of its proper divisors (18037609632).

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

7472854368 is a wasteful number, since it uses less digits than its factorization.

7472854368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1098 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 7472854368 is about 86445.6729281460. The cubic root of 7472854368 is about 1955.0693755075.

The spelling of 7472854368 in words is "seven billion, four hundred seventy-two million, eight hundred fifty-four thousand, three hundred sixty-eight".