7428342600 has 384 divisors, whose sum is σ = 30783744000. Its totient is φ = 1608387840.

The previous prime is 7428342583. The next prime is 7428342601. The reversal of 7428342600 is 62438247.

7428342600 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 3 + 42 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7428342601) 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, 713029 + ... + 723371.

It is an arithmetic number, because the mean of its divisors is an integer number (80166000).

Almost surely, 2^7428342600 is an apocalyptic number.

7428342600 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 7428342600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391872000).

7428342600 is an abundant number, since it is smaller than the sum of its proper divisors (23355401400).

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

7428342600 is a wasteful number, since it uses less digits than its factorization.

7428342600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7428342600 is about 86187.8332480867. The cubic root of 7428342600 is about 1951.1798776688.

The spelling of 7428342600 in words is "seven billion, four hundred twenty-eight million, three hundred forty-two thousand, six hundred".