7461242880 has 768 divisors, whose sum is σ = 31304931840. Its totient is φ = 1472200704.

The previous prime is 7461242879. The next prime is 7461242891. The reversal of 7461242880 is 882421647.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 47523762 + ... + 47523918.

It is an arithmetic number, because the mean of its divisors is an integer number (40761630).

Almost surely, 2^7461242880 is an apocalyptic number.

7461242880 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 7461242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652465920).

7461242880 is an abundant number, since it is smaller than the sum of its proper divisors (23843688960).

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

7461242880 is a wasteful number, since it uses less digits than its factorization.

7461242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 7461242880 is about 86378.4862103985. The cubic root of 7461242880 is about 1954.0562404301.

The spelling of 7461242880 in words is "seven billion, four hundred sixty-one million, two hundred forty-two thousand, eight hundred eighty".