1642376736 has 576 divisors, whose sum is σ = 6533968896. Its totient is φ = 391910400.

The previous prime is 1642376699. The next prime is 1642376797. The reversal of 1642376736 is 6376732461.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1642376691 and 1642376700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783671 + ... + 7783881.

It is an arithmetic number, because the mean of its divisors is an integer number (11343696).

Almost surely, 2^1642376736 is an apocalyptic number.

1642376736 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 1642376736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266984448).

1642376736 is an abundant number, since it is smaller than the sum of its proper divisors (4891592160).

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

1642376736 is a wasteful number, since it uses less digits than its factorization.

1642376736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 1642376736 is about 40526.2474946793. The cubic root of 1642376736 is about 1179.8431123411.

The spelling of 1642376736 in words is "one billion, six hundred forty-two million, three hundred seventy-six thousand, seven hundred thirty-six".