647128151040 has 1056 divisors, whose sum is σ = 2511260648064. Its totient is φ = 141699317760.

The previous prime is 647128151039. The next prime is 647128151077. The reversal of 647128151040 is 40151821746.

647128151040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 647128151040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2067501924 + ... + 2067502236.

Almost surely, 2^647128151040 is an apocalyptic number.

647128151040 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 647128151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255630324032).

647128151040 is an abundant number, since it is smaller than the sum of its proper divisors (1864132497024).

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

647128151040 is a wasteful number, since it uses less digits than its factorization.

647128151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

Adding to 647128151040 its reverse (40151821746), we get a palindrome (687279972786).

The spelling of 647128151040 in words is "six hundred forty-seven billion, one hundred twenty-eight million, one hundred fifty-one thousand, forty".