7261992000 has 504 divisors, whose sum is σ = 27674392200. Its totient is φ = 1817395200.

The previous prime is 7261991999. The next prime is 7261992041. The reversal of 7261992000 is 2991627.

It can be written as a sum of positive squares in 12 ways, for example, as 2187994176 + 5073997824 = 46776^2 + 71232^2 .

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20807826 + ... + 20808174.

Almost surely, 2^7261992000 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 7261992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837196100).

7261992000 is an abundant number, since it is smaller than the sum of its proper divisors (20412400200).

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

7261992000 is a wasteful number, since it uses less digits than its factorization.

7261992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7261992000 is about 85217.3221827581. The cubic root of 7261992000 is about 1936.5048486462.

The spelling of 7261992000 in words is "seven billion, two hundred sixty-one million, nine hundred ninety-two thousand".