642534250151640 has 512 divisors, whose sum is σ = 2431611747072000. Its totient is φ = 131939363635200.

The previous prime is 642534250151623. The next prime is 642534250151657. The reversal of 642534250151640 is 46151052435246.

642534250151640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642534250151623) and next prime (642534250151657).

It is a self number, because there is not a number n which added to its sum of digits gives 642534250151640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1470983670 + ... + 1471420410.

It is an arithmetic number, because the mean of its divisors is an integer number (4749241693500).

Almost surely, 2^{642534250151640} is an apocalyptic number.

642534250151640 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 642534250151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215805873536000).

642534250151640 is an abundant number, since it is smaller than the sum of its proper divisors (1789077496920360).

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

642534250151640 is a wasteful number, since it uses less digits than its factorization.

642534250151640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438651 (or 438647 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 642534250151640 in words is "six hundred forty-two trillion, five hundred thirty-four billion, two hundred fifty million, one hundred fifty-one thousand, six hundred forty".