7615313744640 has 1152 divisors, whose sum is σ = 29712583434240. Its totient is φ = 1623653351424.

The previous prime is 7615313744603. The next prime is 7615313744671. The reversal of 7615313744640 is 464473135167.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17190324259 + ... + 17190324701.

It is an arithmetic number, because the mean of its divisors is an integer number (25792173120).

Almost surely, 2^{7615313744640} is an apocalyptic number.

7615313744640 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 7615313744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856291717120).

7615313744640 is an abundant number, since it is smaller than the sum of its proper divisors (22097269689600).

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

7615313744640 is a wasteful number, since it uses less digits than its factorization.

7615313744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 7615313744640 in words is "seven trillion, six hundred fifteen billion, three hundred thirteen million, seven hundred forty-four thousand, six hundred forty".