7025616000 has 768 divisors, whose sum is σ = 28380643200. Its totient is φ = 1716940800.

The previous prime is 7025615969. The next prime is 7025616001. The reversal of 7025616000 is 6165207.

7025616000 is a `hidden beast` number, since 7 + 0 + 2 + 56 + 1 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7025616001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50543931 + ... + 50544069.

Almost surely, 2^7025616000 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 7025616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190321600).

7025616000 is an abundant number, since it is smaller than the sum of its proper divisors (21355027200).

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

7025616000 is a wasteful number, since it uses less digits than its factorization.

7025616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7025616000 is about 83818.9477385633. The cubic root of 7025616000 is about 1915.2617539023.

The spelling of 7025616000 in words is "seven billion, twenty-five million, six hundred sixteen thousand".