7412739840 has 1152 divisors, whose sum is σ = 32212131840. Its totient is φ = 1592524800.

The previous prime is 7412739833. The next prime is 7412739869. The reversal of 7412739840 is 489372147.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200344302 + ... + 200344338.

It is an arithmetic number, because the mean of its divisors is an integer number (27961920).

Almost surely, 2^7412739840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7412739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106065920).

7412739840 is an abundant number, since it is smaller than the sum of its proper divisors (24799392000).

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

7412739840 is a wasteful number, since it uses less digits than its factorization.

7412739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7412739840 is about 86097.2696431193. The cubic root of 7412739840 is about 1949.8128104337.

The spelling of 7412739840 in words is "seven billion, four hundred twelve million, seven hundred thirty-nine thousand, eight hundred forty".