7398300672 has 528 divisors, whose sum is σ = 26285445120. Its totient is φ = 2048385024.

The previous prime is 7398300671. The next prime is 7398300673. The reversal of 7398300672 is 2760038937.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7398300671) and next prime (7398300673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7398300671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58254273 + ... + 58254399.

It is an arithmetic number, because the mean of its divisors is an integer number (49783040).

Almost surely, 2^7398300672 is an apocalyptic number.

7398300672 is a gapful number since it is divisible by the number (72) 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 7398300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142722560).

7398300672 is an abundant number, since it is smaller than the sum of its proper divisors (18887144448).

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

7398300672 is a wasteful number, since it uses less digits than its factorization.

7398300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7398300672 is about 86013.3749599445. The cubic root of 7398300672 is about 1948.5459835385.

The spelling of 7398300672 in words is "seven billion, three hundred ninety-eight million, three hundred thousand, six hundred seventy-two".