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67425684480 = 21032571131613
BaseRepresentation
bin111110110010111000…
…100100110000000000
320110001000022122212100
4332302320210300000
52101041433400410
650550330230400
74604604601410
oct766270446000
9213030278770
1067425684480
112666004a790
1211098885400
136486cc832b
143398b7c640
151b496058c0
hexfb2e24c00

67425684480 has 1056 divisors, whose sum is σ = 301163286528. Its totient is φ = 13536460800.

The previous prime is 67425684479. The next prime is 67425684533. The reversal of 67425684480 is 8448652476.

It is a happy number.

67425684480 is a `hidden beast` number, since 6 + 74 + 2 + 568 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109992654 + ... + 109993266.

Almost surely, 267425684480 is an apocalyptic number.

67425684480 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 67425684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150581643264).

67425684480 is an abundant number, since it is smaller than the sum of its proper divisors (233737602048).

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

67425684480 is a wasteful number, since it uses less digits than its factorization.

67425684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 67425684480 in words is "sixty-seven billion, four hundred twenty-five million, six hundred eighty-four thousand, four hundred eighty".