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64795680 = 2533553283
BaseRepresentation
bin1111011100101…
…1010000100000
311111220221222000
43313023100200
5113041430210
610232444000
71414516455
oct367132040
9144827860
1064795680
1133636a54
1219849600
1310568a51
14886982c
155a4dac0
hex3dcb420

64795680 has 192 divisors, whose sum is σ = 231880320. Its totient is φ = 16892928.

The previous prime is 64795667. The next prime is 64795691. The reversal of 64795680 is 8659746.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 228819 + ... + 229101.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 264795680 is an apocalyptic number.

64795680 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 64795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115940160).

64795680 is an abundant number, since it is smaller than the sum of its proper divisors (167084640).

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

64795680 is a wasteful number, since it uses less digits than its factorization.

64795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 64795680 is about 8049.5763863697. The cubic root of 64795680 is about 401.6508440783.

The spelling of 64795680 in words is "sixty-four million, seven hundred ninety-five thousand, six hundred eighty".