7452681600 has 768 divisors, whose sum is σ = 31872960000. Its totient is φ = 1486356480.

The previous prime is 7452681563. The next prime is 7452681601. The reversal of 7452681600 is 61862547.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7452681601) 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, 16598176 + ... + 16598624.

It is an arithmetic number, because the mean of its divisors is an integer number (41501250).

Almost surely, 2^7452681600 is an apocalyptic number.

7452681600 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 7452681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

7452681600 is an abundant number, since it is smaller than the sum of its proper divisors (24420278400).

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

7452681600 is a wasteful number, since it uses less digits than its factorization.

7452681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 7452681600 is about 86328.9152022658. The cubic root of 7452681600 is about 1953.3085711960.

The spelling of 7452681600 in words is "seven billion, four hundred fifty-two million, six hundred eighty-one thousand, six hundred".