648156176640 has 1152 divisors, whose sum is σ = 2797369344000. Its totient is φ = 138730143744.

The previous prime is 648156176599. The next prime is 648156176641. The reversal of 648156176640 is 46671651846.

648156176640 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 561 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (648156176641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1476437541 + ... + 1476437979.

It is an arithmetic number, because the mean of its divisors is an integer number (2428272000).

Almost surely, 2^648156176640 is an apocalyptic number.

648156176640 is a gapful number since it is divisible by the number (60) 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 648156176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398684672000).

648156176640 is an abundant number, since it is smaller than the sum of its proper divisors (2149213167360).

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

648156176640 is a wasteful number, since it uses less digits than its factorization.

648156176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 648156176640 in words is "six hundred forty-eight billion, one hundred fifty-six million, one hundred seventy-six thousand, six hundred forty".