6615541920 has 192 divisors, whose sum is σ = 22616060544. Its totient is φ = 1615810560.

The previous prime is 6615541913. The next prime is 6615541931. The reversal of 6615541920 is 291455166.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813394 + ... + 821486.

It is an arithmetic number, because the mean of its divisors is an integer number (117791982).

Almost surely, 2^6615541920 is an apocalyptic number.

6615541920 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 6615541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308030272).

6615541920 is an abundant number, since it is smaller than the sum of its proper divisors (16000518624).

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

6615541920 is a wasteful number, since it uses less digits than its factorization.

6615541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 6615541920 is about 81335.9817055158. The cubic root of 6615541920 is about 1877.2486841235.

The spelling of 6615541920 in words is "six billion, six hundred fifteen million, five hundred forty-one thousand, nine hundred twenty".