1642574976 has 128 divisors (see below), whose sum is σ = 5033871360. Its totient is φ = 464839680.

The previous prime is 1642574933. The next prime is 1642574981. The reversal of 1642574976 is 6794752461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284761 + ... + 290471.

It is an arithmetic number, because the mean of its divisors is an integer number (39327120).

Almost surely, 2^1642574976 is an apocalyptic number.

1642574976 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 1642574976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516935680).

1642574976 is an abundant number, since it is smaller than the sum of its proper divisors (3391296384).

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

1642574976 is a wasteful number, since it uses less digits than its factorization.

1642574976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5830 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 1642574976 is about 40528.6932431827. The cubic root of 1642574976 is about 1179.8905806804.

The spelling of 1642574976 in words is "one billion, six hundred forty-two million, five hundred seventy-four thousand, nine hundred seventy-six".