1625676000 has 384 divisors, whose sum is σ = 6082667136. Its totient is φ = 376012800.

The previous prime is 1625675999. The next prime is 1625676023. The reversal of 1625676000 is 6765261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651694 + ... + 2652306.

It is an arithmetic number, because the mean of its divisors is an integer number (15840279).

Almost surely, 2^1625676000 is an apocalyptic number.

1625676000 is a gapful number since it is divisible by the number (10) 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 1625676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041333568).

1625676000 is an abundant number, since it is smaller than the sum of its proper divisors (4456991136).

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

1625676000 is a wasteful number, since it uses less digits than its factorization.

1625676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1625676000 is about 40319.6726177185. The cubic root of 1625676000 is about 1175.8303471310.

The spelling of 1625676000 in words is "one billion, six hundred twenty-five million, six hundred seventy-six thousand".