1642075456 has 224 divisors, whose sum is σ = 4161536000. Its totient is φ = 640120320.

The previous prime is 1642075453. The next prime is 1642075471. The reversal of 1642075456 is 6545702461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×1642075456⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642075451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12929665 + ... + 12929791.

Almost surely, 2^1642075456 is an apocalyptic number.

1642075456 is a gapful number since it is divisible by the number (16) 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 1642075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080768000).

1642075456 is an abundant number, since it is smaller than the sum of its proper divisors (2519460544).

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

1642075456 is a wasteful number, since it uses less digits than its factorization.

1642075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 1642075456 is about 40522.5302270231. The cubic root of 1642075456 is about 1179.7709638783.

The spelling of 1642075456 in words is "one billion, six hundred forty-two million, seventy-five thousand, four hundred fifty-six".