651607971840 has 576 divisors, whose sum is σ = 2593752295680. Its totient is φ = 148202127360.

The previous prime is 651607971811. The next prime is 651607971841. The reversal of 651607971840 is 48179706156.

651607971840 is a `hidden beast` number, since 6 + 516 + 0 + 79 + 7 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (651607971841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136117927 + ... + 136122713.

It is an arithmetic number, because the mean of its divisors is an integer number (4503042180).

Almost surely, 2^651607971840 is an apocalyptic number.

651607971840 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 651607971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296876147840).

651607971840 is an abundant number, since it is smaller than the sum of its proper divisors (1942144323840).

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

651607971840 is a wasteful number, since it uses less digits than its factorization.

651607971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 651607971840 in words is "six hundred fifty-one billion, six hundred seven million, nine hundred seventy-one thousand, eight hundred forty".