7487970739200 has 2772 divisors, whose sum is σ = 33611684452608. Its totient is φ = 1617806131200.

The previous prime is 7487970739177. The next prime is 7487970739201. The reversal of 7487970739200 is 29370797847.

It is a super-2 number, since 2×7487970739200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7487970739201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 174138854379 + ... + 174138854421.

Almost surely, 2^{7487970739200} is an apocalyptic number.

7487970739200 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 7487970739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805842226304).

7487970739200 is an abundant number, since it is smaller than the sum of its proper divisors (26123713713408).

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

7487970739200 is an equidigital number, since it uses as much as digits as its factorization.

7487970739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 7487970739200 in words is "seven trillion, four hundred eighty-seven billion, nine hundred seventy million, seven hundred thirty-nine thousand, two hundred".