1642577664 has 288 divisors, whose sum is σ = 5668257280. Its totient is φ = 410075136.

The previous prime is 1642577647. The next prime is 1642577669. The reversal of 1642577664 is 4667752461.

It is a super-2 number, since 2×1642577664² = 5396122764543393792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642577669) 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, 1327254 + ... + 1328490.

Almost surely, 2^1642577664 is an apocalyptic number.

1642577664 is a gapful number since it is divisible by the number (14) 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 1642577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834128640).

1642577664 is an abundant number, since it is smaller than the sum of its proper divisors (4025679616).

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

1642577664 is a wasteful number, since it uses less digits than its factorization.

1642577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1281 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 1642577664 is about 40528.7264048600. The cubic root of 1642577664 is about 1179.8912242927.

The spelling of 1642577664 in words is "one billion, six hundred forty-two million, five hundred seventy-seven thousand, six hundred sixty-four".