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64709629920 = 2534513384079
BaseRepresentation
bin111100010000111111…
…101001011111100000
320012000201120210110000
4330100333221133200
52030011131124140
645421023540000
74450364531115
oct742077513740
9205021523400
1064709629920
11254969987a1
121065b15a600
1361433b0260
1431bc16a90c
151a3ae4da30
hexf10fe97e0

64709629920 has 240 divisors, whose sum is σ = 245938714560. Its totient is φ = 15928482816.

The previous prime is 64709629913. The next prime is 64709629973. The reversal of 64709629920 is 2992690746.

64709629920 is a `hidden beast` number, since 6 + 4 + 7 + 0 + 9 + 629 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23560 + ... + 360519.

It is an arithmetic number, because the mean of its divisors is an integer number (1024744644).

Almost surely, 264709629920 is an apocalyptic number.

64709629920 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 64709629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122969357280).

64709629920 is an abundant number, since it is smaller than the sum of its proper divisors (181229084640).

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

64709629920 is a wasteful number, since it uses less digits than its factorization.

64709629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384119 (or 384102 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 64709629920 in words is "sixty-four billion, seven hundred nine million, six hundred twenty-nine thousand, nine hundred twenty".