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68374500480 = 2732511131719257
BaseRepresentation
bin111111101011011100…
…000001010010000000
320112111010200111201200
4333223130001102000
52110012333003410
651224422501200
74640245443666
oct775334012200
9215433614650
1068374500480
1126aa7694240
1211302594800
1365a8754210
143448ba4c36
151ba2a763c0
hexfeb701480

68374500480 has 1536 divisors, whose sum is σ = 310360377600. Its totient is φ = 13589544960.

The previous prime is 68374500479. The next prime is 68374500563. The reversal of 68374500480 is 8400547386.

68374500480 is a `hidden beast` number, since 68 + 3 + 7 + 4 + 500 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266048512 + ... + 266048768.

Almost surely, 268374500480 is an apocalyptic number.

68374500480 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 68374500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155180188800).

68374500480 is an abundant number, since it is smaller than the sum of its proper divisors (241985877120).

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

68374500480 is a wasteful number, since it uses less digits than its factorization.

68374500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 68374500480 in words is "sixty-eight billion, three hundred seventy-four million, five hundred thousand, four hundred eighty".