647077680 has 160 divisors (see below), whose sum is σ = 2346278400. Its totient is φ = 163461888.

The previous prime is 647077643. The next prime is 647077693. The reversal of 647077680 is 86770746.

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

It is a congruent number.

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, 33157 + ... + 48923.

It is an arithmetic number, because the mean of its divisors is an integer number (14664240).

Almost surely, 2^647077680 is an apocalyptic number.

647077680 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 647077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173139200).

647077680 is an abundant number, since it is smaller than the sum of its proper divisors (1699200720).

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

647077680 is a wasteful number, since it uses less digits than its factorization.

647077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15808 (or 15796 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 647077680 is about 25437.7215960864. The cubic root of 647077680 is about 864.9389868645.

The spelling of 647077680 in words is "six hundred forty-seven million, seventy-seven thousand, six hundred eighty".