1640510118976 has 63 divisors (see below), whose sum is σ = 3403568643573. Its totient is φ = 784479083520.

The previous prime is 1640510118959. The next prime is 1640510118977. The reversal of 1640510118976 is 6798110150461.

The square root of 1640510118976 is 1280824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1285103373376 + 355406745600 = 1133624^2 + 596160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1640510118977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 235668136 + ... + 235675096.

Almost surely, 2^{1640510118976} is an apocalyptic number.

1640510118976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1640510118976 is the 1280824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640510118976

1640510118976 is an abundant number, since it is smaller than the sum of its proper divisors (1763058524597).

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

1640510118976 is an frugal number, since it uses more digits than its factorization.

1640510118976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13980 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

Multiplying 1640510118976 by its sum of digits (49), we get a square (80384995829824 = 8965768²).

The spelling of 1640510118976 in words is "one trillion, six hundred forty billion, five hundred ten million, one hundred eighteen thousand, nine hundred seventy-six".