7150729420800 has 1344 divisors, whose sum is σ = 31792687280640. Its totient is φ = 1538166620160.

The previous prime is 7150729420771. The next prime is 7150729420843. The reversal of 7150729420800 is 80249270517.

It is a happy number.

7150729420800 is a `hidden beast` number, since 7 + 1 + 507 + 29 + 42 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×7150729420800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658016967 + ... + 658027833.

Almost surely, 2^{7150729420800} is an apocalyptic number.

7150729420800 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 7150729420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896343640320).

7150729420800 is an abundant number, since it is smaller than the sum of its proper divisors (24641957859840).

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

7150729420800 is a wasteful number, since it uses less digits than its factorization.

7150729420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10936 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 7150729420800 in words is "seven trillion, one hundred fifty billion, seven hundred twenty-nine million, four hundred twenty thousand, eight hundred".