7606872000 has 1344 divisors, whose sum is σ = 35538607104. Its totient is φ = 1567641600.

The previous prime is 7606871989. The next prime is 7606872029. The reversal of 7606872000 is 2786067.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176903979 + ... + 176904021.

It is an arithmetic number, because the mean of its divisors is an integer number (26442416).

Almost surely, 2^7606872000 is an apocalyptic number.

7606872000 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 7606872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769303552).

7606872000 is an abundant number, since it is smaller than the sum of its proper divisors (27931735104).

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

7606872000 is a wasteful number, since it uses less digits than its factorization.

7606872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7606872000 is about 87217.3835883650. The cubic root of 7606872000 is about 1966.6875544400.

The spelling of 7606872000 in words is "seven billion, six hundred six million, eight hundred seventy-two thousand".