7609000347900 has 720 divisors, whose sum is σ = 29085328419840. Its totient is φ = 1684732608000.

The previous prime is 7609000347811. The next prime is 7609000347901. The reversal of 7609000347900 is 97430009067.

7609000347900 is a `hidden beast` number, since 7 + 609 + 0 + 0 + 0 + 34 + 7 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7609000347901) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 237386875 + ... + 237418925.

It is an arithmetic number, because the mean of its divisors is an integer number (40396289472).

Almost surely, 2^{7609000347900} is an apocalyptic number.

7609000347900 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 7609000347900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542664209920).

7609000347900 is an abundant number, since it is smaller than the sum of its proper divisors (21476328071940).

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

7609000347900 is a wasteful number, since it uses less digits than its factorization.

7609000347900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32216 (or 32200 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 7609000347900 in words is "seven trillion, six hundred nine billion, three hundred forty-seven thousand, nine hundred".