7151630745600 has 2448 divisors, whose sum is σ = 30668651080704. Its totient is φ = 1634992128000.

The previous prime is 7151630745559. The next prime is 7151630745601. The reversal of 7151630745600 is 65470361517.

7151630745600 is a `hidden beast` number, since 7 + 1 + 5 + 1 + 6 + 30 + 7 + 4 + 5 + 600 = 666.

It is a super-2 number, since 2×7151630745600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7151630745601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100727193565 + ... + 100727193635.

Almost surely, 2^{7151630745600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7151630745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334325540352).

7151630745600 is an abundant number, since it is smaller than the sum of its proper divisors (23517020335104).

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

7151630745600 is an equidigital number, since it uses as much as digits as its factorization.

7151630745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 7151630745600 in words is "seven trillion, one hundred fifty-one billion, six hundred thirty million, seven hundred forty-five thousand, six hundred".