7330725642240 has 4320 divisors, whose sum is σ = 36724435735680. Its totient is φ = 1373393387520.

The previous prime is 7330725642211. The next prime is 7330725642269. The reversal of 7330725642240 is 422465270337.

7330725642240 is a `hidden beast` number, since 7 + 330 + 7 + 256 + 4 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7330725642211) and next prime (7330725642269).

It is a tau number, because it is divible by the number of its divisors (4320).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170481991659 + ... + 170481991701.

Almost surely, 2^{7330725642240} is an apocalyptic number.

7330725642240 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 7330725642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362217867840).

7330725642240 is an abundant number, since it is smaller than the sum of its proper divisors (29393710093440).

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

7330725642240 is a wasteful number, since it uses less digits than its factorization.

7330725642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 7330725642240 in words is "seven trillion, three hundred thirty billion, seven hundred twenty-five million, six hundred forty-two thousand, two hundred forty".