6958742400 has 672 divisors, whose sum is σ = 27302921400. Its totient is φ = 1746800640.

The previous prime is 6958742393. The next prime is 6958742411. The reversal of 6958742400 is 42478596.

It is a happy number.

6958742400 is a `hidden beast` number, since 69 + 587 + 4 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 44323122 + ... + 44323278.

Almost surely, 2^6958742400 is an apocalyptic number.

6958742400 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 6958742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651460700).

6958742400 is an abundant number, since it is smaller than the sum of its proper divisors (20344179000).

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

6958742400 is a wasteful number, since it uses less digits than its factorization.

6958742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6958742400 is about 83419.0769548549. The cubic root of 6958742400 is about 1909.1655391976.

The spelling of 6958742400 in words is "six billion, nine hundred fifty-eight million, seven hundred forty-two thousand, four hundred".