1625473664 has 128 divisors (see below), whose sum is σ = 3554496000. Its totient is φ = 738017280.

The previous prime is 1625473651. The next prime is 1625473673. The reversal of 1625473664 is 4663745261.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744584 + ... + 6744824.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 2^1625473664 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 1625473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777248000).

1625473664 is an abundant number, since it is smaller than the sum of its proper divisors (1929022336).

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

1625473664 is a wasteful number, since it uses less digits than its factorization.

1625473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 1625473664 is about 40317.1633922824. The cubic root of 1625473664 is about 1175.7815627730.

The spelling of 1625473664 in words is "one billion, six hundred twenty-five million, four hundred seventy-three thousand, six hundred sixty-four".