7507920000 has 640 divisors, whose sum is σ = 29443075200. Its totient is φ = 1658880000.

The previous prime is 7507919999. The next prime is 7507920011. The reversal of 7507920000 is 297057.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7507920000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68879946 + ... + 68880054.

It is an arithmetic number, because the mean of its divisors is an integer number (46004805).

Almost surely, 2^7507920000 is an apocalyptic number.

7507920000 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 7507920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721537600).

7507920000 is an abundant number, since it is smaller than the sum of its proper divisors (21935155200).

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

7507920000 is a wasteful number, since it uses less digits than its factorization.

7507920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 7507920000 is about 86648.2544544320. The cubic root of 7507920000 is about 1958.1225948976.

The spelling of 7507920000 in words is "seven billion, five hundred seven million, nine hundred twenty thousand".