7352674560 has 864 divisors, whose sum is σ = 32998597632. Its totient is φ = 1522851840.

The previous prime is 7352674547. The next prime is 7352674561. The reversal of 7352674560 is 654762537.

7352674560 is a `hidden beast` number, since 7 + 3 + 526 + 74 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (7352674561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23949927 + ... + 23950233.

Almost surely, 2^7352674560 is an apocalyptic number.

7352674560 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 7352674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499298816).

7352674560 is an abundant number, since it is smaller than the sum of its proper divisors (25645923072).

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

7352674560 is a wasteful number, since it uses less digits than its factorization.

7352674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 7352674560 is about 85747.7379293472. The cubic root of 7352674560 is about 1944.5320902885.

The spelling of 7352674560 in words is "seven billion, three hundred fifty-two million, six hundred seventy-four thousand, five hundred sixty".