1662742536 has 256 divisors, whose sum is σ = 5419008000. Its totient is φ = 413337600.

The previous prime is 1662742517. The next prime is 1662742537. The reversal of 1662742536 is 6352472661.

It is a super-2 number, since 2×1662742536² = 5529425482047422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1662742537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775565 + ... + 2776163.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^1662742536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1662742536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1662742536 is an abundant number, since it is smaller than the sum of its proper divisors (3756265464).

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

1662742536 is a wasteful number, since it uses less digits than its factorization.

1662742536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 696 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 1662742536 is about 40776.7401345424. The cubic root of 1662742536 is about 1184.6998559751.

The spelling of 1662742536 in words is "one billion, six hundred sixty-two million, seven hundred forty-two thousand, five hundred thirty-six".