6902772480 has 576 divisors, whose sum is σ = 26843443200. Its totient is φ = 1672151040.

The previous prime is 6902772479. The next prime is 6902772517. The reversal of 6902772480 is 842772096.

It is a tau number, because it is divible by the number of its divisors (576).

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, 18212931 + ... + 18213309.

It is an arithmetic number, because the mean of its divisors is an integer number (46603200).

Almost surely, 2^6902772480 is an apocalyptic number.

6902772480 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 6902772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421721600).

6902772480 is an abundant number, since it is smaller than the sum of its proper divisors (19940670720).

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

6902772480 is a wasteful number, since it uses less digits than its factorization.

6902772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6902772480 is about 83082.9253216327. The cubic root of 6902772480 is about 1904.0332127060.

The spelling of 6902772480 in words is "six billion, nine hundred two million, seven hundred seventy-two thousand, four hundred eighty".