6904212480 has 528 divisors, whose sum is σ = 26693600544. Its totient is φ = 1635778560.

The previous prime is 6904212437. The next prime is 6904212503. The reversal of 6904212480 is 842124096.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×6904212480³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26864512 + ... + 26864768.

Almost surely, 2^6904212480 is an apocalyptic number.

6904212480 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 6904212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346800272).

6904212480 is an abundant number, since it is smaller than the sum of its proper divisors (19789388064).

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

6904212480 is a wasteful number, since it uses less digits than its factorization.

6904212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6904212480 is about 83091.5909102720. The cubic root of 6904212480 is about 1904.1656047846.

The spelling of 6904212480 in words is "six billion, nine hundred four million, two hundred twelve thousand, four hundred eighty".