648153792 has 448 divisors, whose sum is σ = 2328184320. Its totient is φ = 174182400.

The previous prime is 648153767. The next prime is 648153851. The reversal of 648153792 is 297351846.

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, 10625442 + ... + 10625502.

It is an arithmetic number, because the mean of its divisors is an integer number (5196840).

Almost surely, 2^648153792 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 648153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164092160).

648153792 is an abundant number, since it is smaller than the sum of its proper divisors (1680030528).

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

648153792 is a wasteful number, since it uses less digits than its factorization.

648153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 648153792 is about 25458.8647036744. The cubic root of 648153792 is about 865.4181955489.

The spelling of 648153792 in words is "six hundred forty-eight million, one hundred fifty-three thousand, seven hundred ninety-two".