7457214334752 has 1728 divisors, whose sum is σ = 28215244512000. Its totient is φ = 1864030371840.

The previous prime is 7457214334747. The next prime is 7457214334777. The reversal of 7457214334752 is 2574334127547.

7457214334752 is a `hidden beast` number, since 7 + 4 + 572 + 14 + 3 + 3 + 4 + 7 + 52 = 666.

It is a super-2 number, since 2×7457214334752² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35342247927 + ... + 35342248137.

It is an arithmetic number, because the mean of its divisors is an integer number (16328266500).

Almost surely, 2^{7457214334752} is an apocalyptic number.

7457214334752 is a gapful number since it is divisible by the number (72) 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 7457214334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107622256000).

7457214334752 is an abundant number, since it is smaller than the sum of its proper divisors (20758030177248).

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

7457214334752 is a wasteful number, since it uses less digits than its factorization.

7457214334752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 338 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 54.

The spelling of 7457214334752 in words is "seven trillion, four hundred fifty-seven billion, two hundred fourteen million, three hundred thirty-four thousand, seven hundred fifty-two".