6961045350 has 288 divisors, whose sum is σ = 20974657536. Its totient is φ = 1521676800.

The previous prime is 6961045331. The next prime is 6961045361. The reversal of 6961045350 is 535401696.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6961045299 and 6961045308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31215339 + ... + 31215561.

It is an arithmetic number, because the mean of its divisors is an integer number (72828672).

Almost surely, 2^6961045350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961045350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487328768).

6961045350 is an abundant number, since it is smaller than the sum of its proper divisors (14013612186).

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

6961045350 is a wasteful number, since it uses less digits than its factorization.

6961045350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 6961045350 is about 83432.8793102575. The cubic root of 6961045350 is about 1909.3761245588.

It can be divided in two parts, 69610 and 45350, that added together give a triangular number (114960 = T₄₇₉).

The spelling of 6961045350 in words is "six billion, nine hundred sixty-one million, forty-five thousand, three hundred fifty".