7354054128960 has 672 divisors, whose sum is σ = 31968553174272. Its totient is φ = 1507178741760.

The previous prime is 7354054128947. The next prime is 7354054128979. The reversal of 7354054128960 is 698214504537.

It is a happy number.

7354054128960 is a `hidden beast` number, since 7 + 3 + 5 + 4 + 0 + 541 + 2 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7354054128960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7354054128897 and 7354054128906.

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, 15961342 + ... + 16415618.

It is a 1-persistent number, because it is pandigital, but 2⋅7354054128960 = 14708108257920 is not.

Almost surely, 2^{7354054128960} is an apocalyptic number.

7354054128960 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 7354054128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984276587136).

7354054128960 is an abundant number, since it is smaller than the sum of its proper divisors (24614499045312).

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

7354054128960 is a wasteful number, since it uses less digits than its factorization.

7354054128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454391 (or 454378 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 7354054128960 in words is "seven trillion, three hundred fifty-four billion, fifty-four million, one hundred twenty-eight thousand, nine hundred sixty".