651112076160 has 3072 divisors, whose sum is σ = 3175616102400. Its totient is φ = 122544783360.

The previous prime is 651112076149. The next prime is 651112076299. The reversal of 651112076160 is 61670211156.

It is a happy number.

651112076160 is a `hidden beast` number, since 6 + 5 + 1 + 11 + 20 + 7 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17597623662 + ... + 17597623698.

It is an arithmetic number, because the mean of its divisors is an integer number (1033729200).

Almost surely, 2^651112076160 is an apocalyptic number.

651112076160 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 651112076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587808051200).

651112076160 is an abundant number, since it is smaller than the sum of its proper divisors (2524504026240).

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

651112076160 is a wasteful number, since it uses less digits than its factorization.

651112076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 651112076160 in words is "six hundred fifty-one billion, one hundred twelve million, seventy-six thousand, one hundred sixty".