7553012880 has 240 divisors, whose sum is σ = 28177571520. Its totient is φ = 1666796544.

The previous prime is 7553012869. The next prime is 7553012911. The reversal of 7553012880 is 882103557.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329967 + ... + 352113.

It is an arithmetic number, because the mean of its divisors is an integer number (117406548).

Almost surely, 2^7553012880 is an apocalyptic number.

7553012880 is a gapful number since it is divisible by the number (70) 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 7553012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088785760).

7553012880 is an abundant number, since it is smaller than the sum of its proper divisors (20624558640).

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

7553012880 is a wasteful number, since it uses less digits than its factorization.

7553012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22206 (or 22193 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 7553012880 is about 86908.0714318296. The cubic root of 7553012880 is about 1962.0349613092.

It can be divided in two parts, 75530 and 12880, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 7553012880 in words is "seven billion, five hundred fifty-three million, twelve thousand, eight hundred eighty".