6554040480 has 288 divisors, whose sum is σ = 24980102784. Its totient is φ = 1613177856.

The previous prime is 6554040461. The next prime is 6554040497. The reversal of 6554040480 is 840404556.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6554040480² = 85910893226957260800, which contains 22 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, 498957 + ... + 511923.

It is an arithmetic number, because the mean of its divisors is an integer number (86736468).

Almost surely, 2^6554040480 is an apocalyptic number.

6554040480 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 6554040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490051392).

6554040480 is an abundant number, since it is smaller than the sum of its proper divisors (18426062304).

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

6554040480 is a wasteful number, since it uses less digits than its factorization.

6554040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6554040480 is about 80957.0286015983. The cubic root of 6554040480 is about 1871.4132776671.

The spelling of 6554040480 in words is "six billion, five hundred fifty-four million, forty thousand, four hundred eighty".