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640799459209728 = 2934731331111781
BaseRepresentation
bin1001000110110011011100000…
…0001000110111001000000000
310010000212211102002100221020000
42101230313000020313020000
51132442324243024202403
610150511112502120000
7251655142652433000
oct22154670010671000
93100784362327200
10640799459209728
111761a6585130aa5
125ba5328a420000
132167318bcb64c0
14b434c05d3a000
154e139e79a77a3
hex246cdc0237200

640799459209728 has 1600 divisors, whose sum is σ = 2479538666035200. Its totient is φ = 163548912844800.

The previous prime is 640799459209661. The next prime is 640799459209747. The reversal of 640799459209728 is 827902954997046.

640799459209728 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 99 + 459 + 2 + 0 + 9 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5732577198 + ... + 5732688978.

It is an arithmetic number, because the mean of its divisors is an integer number (1549711666272).

Almost surely, 2640799459209728 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 640799459209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239769333017600).

640799459209728 is an abundant number, since it is smaller than the sum of its proper divisors (1838739206825472).

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

640799459209728 is a wasteful number, since it uses less digits than its factorization.

640799459209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111876 (or 111837 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 640799459209728 in words is "six hundred forty trillion, seven hundred ninety-nine billion, four hundred fifty-nine million, two hundred nine thousand, seven hundred twenty-eight".