7287671400 has 96 divisors (see below), whose sum is σ = 22628760000. Its totient is φ = 1940198400.

The previous prime is 7287671383. The next prime is 7287671431. The reversal of 7287671400 is 41767827.

It is a super-2 number, since 2×7287671400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368976 + ... + 388224.

It is an arithmetic number, because the mean of its divisors is an integer number (235716250).

Almost surely, 2^7287671400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7287671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314380000).

7287671400 is an abundant number, since it is smaller than the sum of its proper divisors (15341088600).

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

7287671400 is a wasteful number, since it uses less digits than its factorization.

7287671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19899 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 7287671400 is about 85367.8592914219. The cubic root of 7287671400 is about 1938.7847456839.

The spelling of 7287671400 in words is "seven billion, two hundred eighty-seven million, six hundred seventy-one thousand, four hundred".