1642152672 has 288 divisors, whose sum is σ = 5283532800. Its totient is φ = 480743424.

The previous prime is 1642152667. The next prime is 1642152683. The reversal of 1642152672 is 2762512461.

It is a happy number.

1642152672 is a `hidden beast` number, since 1 + 64 + 2 + 1 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11813979 + ... + 11814117.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^1642152672 is an apocalyptic number.

1642152672 is a gapful number since it is divisible by the number (12) 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 1642152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

1642152672 is an abundant number, since it is smaller than the sum of its proper divisors (3641380128).

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

1642152672 is a wasteful number, since it uses less digits than its factorization.

1642152672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1642152672 is about 40523.4829697547. The cubic root of 1642152672 is about 1179.7894558760.

The spelling of 1642152672 in words is "one billion, six hundred forty-two million, one hundred fifty-two thousand, six hundred seventy-two".