7343786904960 has 384 divisors, whose sum is σ = 25754238125280. Its totient is φ = 1778621644800.

The previous prime is 7343786904953. The next prime is 7343786905009. The reversal of 7343786904960 is 694096873437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7343786904960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7343786904891 and 7343786904900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253911300 + ... + 253940220.

Almost surely, 2^{7343786904960} 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 7343786904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877119062640).

7343786904960 is an abundant number, since it is smaller than the sum of its proper divisors (18410451220320).

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

7343786904960 is a wasteful number, since it uses less digits than its factorization.

7343786904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30058 (or 30035 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 66.

It can be divided in two parts, 734378690 and 4960, that added together give a triangular number (734383650 = T₃₈₃₂₄).

The spelling of 7343786904960 in words is "seven trillion, three hundred forty-three billion, seven hundred eighty-six million, nine hundred four thousand, nine hundred sixty".