7104921600 has 576 divisors, whose sum is σ = 27792082800. Its totient is φ = 1596456960.

The previous prime is 7104921583. The next prime is 7104921641. The reversal of 7104921600 is 61294017.

It is a happy number.

It is a super-3 number, since 3×7104921600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120422371 + ... + 120422429.

Almost surely, 2^7104921600 is an apocalyptic number.

7104921600 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 7104921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896041400).

7104921600 is an abundant number, since it is smaller than the sum of its proper divisors (20687161200).

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

7104921600 is an equidigital number, since it uses as much as digits as its factorization.

7104921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7104921600 is about 84290.6969955760. The cubic root of 7104921600 is about 1922.4413388915.

The spelling of 7104921600 in words is "seven billion, one hundred four million, nine hundred twenty-one thousand, six hundred".