6958647421440 has 1920 divisors, whose sum is σ = 28080295246080. Its totient is φ = 1446720307200.

The previous prime is 6958647421433. The next prime is 6958647421463. The reversal of 6958647421440 is 441247468596.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95323937244 + ... + 95323937316.

It is an arithmetic number, because the mean of its divisors is an integer number (14625153774).

Almost surely, 2^{6958647421440} is an apocalyptic number.

6958647421440 is a gapful number since it is divisible by the number (60) 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 6958647421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040147623040).

6958647421440 is an abundant number, since it is smaller than the sum of its proper divisors (21121647824640).

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

6958647421440 is a wasteful number, since it uses less digits than its factorization.

6958647421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 6958647421440 in words is "six trillion, nine hundred fifty-eight billion, six hundred forty-seven million, four hundred twenty-one thousand, four hundred forty".