7412381760 has 224 divisors, whose sum is σ = 26947733760. Its totient is φ = 1691025408.

The previous prime is 7412381749. The next prime is 7412381789. The reversal of 7412381760 is 671832147.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6564876 + ... + 6566004.

Almost surely, 2^7412381760 is an apocalyptic number.

7412381760 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 7412381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473866880).

7412381760 is an abundant number, since it is smaller than the sum of its proper divisors (19535352000).

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

7412381760 is a wasteful number, since it uses less digits than its factorization.

7412381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7412381760 is about 86095.1901095526. The cubic root of 7412381760 is about 1949.7814140257.

The spelling of 7412381760 in words is "seven billion, four hundred twelve million, three hundred eighty-one thousand, seven hundred sixty".