7352748000 has 384 divisors, whose sum is σ = 28828275840. Its totient is φ = 1809561600.

The previous prime is 7352747981. The next prime is 7352748019. The reversal of 7352748000 is 8472537.

It is an interprime number because it is at equal distance from previous prime (7352747981) and next prime (7352748019).

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 63 ways as a sum of consecutive naturals, for example, 1401382 + ... + 1406618.

It is an arithmetic number, because the mean of its divisors is an integer number (75073635).

Almost surely, 2^7352748000 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 7352748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414137920).

7352748000 is an abundant number, since it is smaller than the sum of its proper divisors (21475527840).

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

7352748000 is a wasteful number, since it uses less digits than its factorization.

7352748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7352748000 is about 85748.1661611489. The cubic root of 7352748000 is about 1944.5385643935.

The spelling of 7352748000 in words is "seven billion, three hundred fifty-two million, seven hundred forty-eight thousand".