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74678499840 = 2935719113647
BaseRepresentation
bin100010110001100101…
…1110111101000000000
321010202110202212010110
41011203023313220000
52210420143443330
654150135231320
75252413526610
oct1054313675000
9233673685113
1074678499840
112974208026a
1212581818540
1370717bb259
143886108a40
151e2120cdb0
hex11632f7a00

74678499840 has 640 divisors, whose sum is σ = 290192855040. Its totient is φ = 16003104768.

The previous prime is 74678499799. The next prime is 74678499851. The reversal of 74678499840 is 4899487647.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115422397 + ... + 115423043.

It is an arithmetic number, because the mean of its divisors is an integer number (453426336).

Almost surely, 274678499840 is an apocalyptic number.

74678499840 is a gapful number since it is divisible by the number (70) 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 74678499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145096427520).

74678499840 is an abundant number, since it is smaller than the sum of its proper divisors (215514355200).

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

74678499840 is a wasteful number, since it uses less digits than its factorization.

74678499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 74678499840 in words is "seventy-four billion, six hundred seventy-eight million, four hundred ninety-nine thousand, eight hundred forty".