7615345920 has 1152 divisors, whose sum is σ = 33405173760. Its totient is φ = 1433272320.

The previous prime is 7615345897. The next prime is 7615345963. The reversal of 7615345920 is 295435167.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205820142 + ... + 205820178.

Almost surely, 2^7615345920 is an apocalyptic number.

7615345920 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 7615345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702586880).

7615345920 is an abundant number, since it is smaller than the sum of its proper divisors (25789827840).

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

7615345920 is a wasteful number, since it uses less digits than its factorization.

7615345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 7615345920 is about 87265.9493731662. The cubic root of 7615345920 is about 1967.4175684086.

The spelling of 7615345920 in words is "seven billion, six hundred fifteen million, three hundred forty-five thousand, nine hundred twenty".