651461742720 has 192 divisors, whose sum is σ = 2250149255640. Its totient is φ = 173679083520.

The previous prime is 651461742719. The next prime is 651461742739. The reversal of 651461742720 is 27247164156.

651461742720 is a `hidden beast` number, since 6 + 5 + 1 + 4 + 617 + 4 + 2 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 604400514624 + 47061228096 = 777432^2 + 216936^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27180982 + ... + 27204938.

Almost surely, 2^651461742720 is an apocalyptic number.

651461742720 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 651461742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125074627820).

651461742720 is an abundant number, since it is smaller than the sum of its proper divisors (1598687512920).

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

651461742720 is a wasteful number, since it uses less digits than its factorization.

651461742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28703 (or 28688 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 651461742720 in words is "six hundred fifty-one billion, four hundred sixty-one million, seven hundred forty-two thousand, seven hundred twenty".