1506949642968 has 256 divisors, whose sum is σ = 4862550528000. Its totient is φ = 377638464000.

The previous prime is 1506949642951. The next prime is 1506949642987. The reversal of 1506949642968 is 8692469496051.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77752303 + ... + 77771681.

It is an arithmetic number, because the mean of its divisors is an integer number (18994338000).

Almost surely, 2^{1506949642968} 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 1506949642968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431275264000).

1506949642968 is an abundant number, since it is smaller than the sum of its proper divisors (3355600885032).

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

1506949642968 is a wasteful number, since it uses less digits than its factorization.

1506949642968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20886 (or 20882 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 1506949642968 in words is "one trillion, five hundred six billion, nine hundred forty-nine million, six hundred forty-two thousand, nine hundred sixty-eight".