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6900480666240 = 2735719832111543
BaseRepresentation
bin110010001101010010010…
…1100101110101010000000
3220102200100100210000020220
41210122210230232222000
51401024141022304430
622402012000503040
71311354225613050
oct144324454565200
926380310700226
106900480666240
112220528493977
1293543901aa80
133b0935591ba5
1419bdb0d77560
15be76d7ae110
hex646a4b2ea80

6900480666240 has 1024 divisors, whose sum is σ = 26923644518400. Its totient is φ = 1468287959040.

The previous prime is 6900480666217. The next prime is 6900480666263. The reversal of 6900480666240 is 426660840096.

It is an interprime number because it is at equal distance from previous prime (6900480666217) and next prime (6900480666263).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4472118909 + ... + 4472120451.

It is an arithmetic number, because the mean of its divisors is an integer number (26292621600).

Almost surely, 26900480666240 is an apocalyptic number.

6900480666240 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 6900480666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461822259200).

6900480666240 is an abundant number, since it is smaller than the sum of its proper divisors (20023163852160).

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

6900480666240 is a wasteful number, since it uses less digits than its factorization.

6900480666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 6900480666240 in words is "six trillion, nine hundred billion, four hundred eighty million, six hundred sixty-six thousand, two hundred forty".