651378436128 has 672 divisors, whose sum is σ = 2263422873600. Its totient is φ = 184354652160.

The previous prime is 651378436099. The next prime is 651378436213. The reversal of 651378436128 is 821634873156.

651378436128 is a `hidden beast` number, since 6 + 5 + 13 + 7 + 8 + 4 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1016190688 + ... + 1016191328.

It is an arithmetic number, because the mean of its divisors is an integer number (3368188800).

Almost surely, 2^651378436128 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 651378436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131711436800).

651378436128 is an abundant number, since it is smaller than the sum of its proper divisors (1612044437472).

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

651378436128 is an equidigital number, since it uses as much as digits as its factorization.

651378436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 780 counting only the distinct ones).

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

The spelling of 651378436128 in words is "six hundred fifty-one billion, three hundred seventy-eight million, four hundred thirty-six thousand, one hundred twenty-eight".