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669271680 = 27335711503
BaseRepresentation
bin100111111001000…
…100011010000000
31201122100112011000
4213321010122000
52332313143210
6150224452000
722404500250
oct4771043200
91648315130
10669271680
113138717a0
1216817a000
13a8870a5c
1464c59960
153db52ac0
hex27e44680

669271680 has 512 divisors, whose sum is σ = 2961100800. Its totient is φ = 138792960.

The previous prime is 669271619. The next prime is 669271709. The reversal of 669271680 is 86172966.

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 63 ways as a sum of consecutive naturals, for example, 1330309 + ... + 1330811.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2669271680 is an apocalyptic number.

669271680 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 669271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

669271680 is an abundant number, since it is smaller than the sum of its proper divisors (2291829120).

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

669271680 is a wasteful number, since it uses less digits than its factorization.

669271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 669271680 is about 25870.2856574874. The cubic root of 669271680 is about 874.7168302745.

The spelling of 669271680 in words is "six hundred sixty-nine million, two hundred seventy-one thousand, six hundred eighty".