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640829201320 = 2357113141313523
BaseRepresentation
bin10010101001101000110…
…01011001101110101000
32021021002111012101100201
421110310121121232220
540444404233420240
61210220505441544
764204226223250
oct11246431315650
92237074171321
10640829201320
11227857417890
12a42444a02b4
1348578748229
1423032a1c960
1511a09548d9a
hex9534659ba8

640829201320 has 512 divisors, whose sum is σ = 1910618357760. Its totient is φ = 187619328000.

The previous prime is 640829201303. The next prime is 640829201387. The reversal of 640829201320 is 23102928046.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 640829201320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1225294579 + ... + 1225295101.

It is an arithmetic number, because the mean of its divisors is an integer number (3731676480).

Almost surely, 2640829201320 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 640829201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955309178880).

640829201320 is an abundant number, since it is smaller than the sum of its proper divisors (1269789156440).

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

640829201320 is a wasteful number, since it uses less digits than its factorization.

640829201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 640829201320 in words is "six hundred forty billion, eight hundred twenty-nine million, two hundred one thousand, three hundred twenty".