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640567674406920 = 23351321912713090003
BaseRepresentation
bin1001000110100101111100100…
…0101100000000100000001000
310010000001200010121100222011210
42101221133020230000200020
51132430030044122010140
610150212421021253120
7251632326060216261
oct22151371054004010
93100050117328153
10640567674406920
11176117252702027
125ba163821041a0
1321657370903500
14b4278d8771968
154e0c97dda3d80
hex24697c8b00808

640567674406920 has 384 divisors, whose sum is σ = 2207665826611200. Its totient is φ = 148203117683712.

The previous prime is 640567674406897. The next prime is 640567674406937. The reversal of 640567674406920 is 29604476765046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42390639 + ... + 55480641.

It is an arithmetic number, because the mean of its divisors is an integer number (5749129756800).

Almost surely, 2640567674406920 is an apocalyptic number.

640567674406920 is a gapful number since it is divisible by the number (60) 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 640567674406920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103832913305600).

640567674406920 is an abundant number, since it is smaller than the sum of its proper divisors (1567098152204280).

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

640567674406920 is a wasteful number, since it uses less digits than its factorization.

640567674406920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090189 (or 13090172 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 640567674406920 in words is "six hundred forty trillion, five hundred sixty-seven billion, six hundred seventy-four million, four hundred six thousand, nine hundred twenty".