1642388952960 has 2048 divisors, whose sum is σ = 7490174976000. Its totient is φ = 331085905920.

The previous prime is 1642388952949. The next prime is 1642388952989. The reversal of 1642388952960 is 692598832461.

1642388952960 is a `hidden beast` number, since 1 + 6 + 4 + 23 + 8 + 89 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4961899995 + ... + 4961900325.

It is an arithmetic number, because the mean of its divisors is an integer number (3657312000).

Almost surely, 2^{1642388952960} is an apocalyptic number.

1642388952960 is a gapful number since it is divisible by the number (10) 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 1642388952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745087488000).

1642388952960 is an abundant number, since it is smaller than the sum of its proper divisors (5847786023040).

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

1642388952960 is a wasteful number, since it uses less digits than its factorization.

1642388952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 1642388952960 in words is "one trillion, six hundred forty-two billion, three hundred eighty-eight million, nine hundred fifty-two thousand, nine hundred sixty".