6949958400 has 648 divisors, whose sum is σ = 30998682624. Its totient is φ = 1443225600.

The previous prime is 6949958399. The next prime is 6949958401. The reversal of 6949958400 is 48599496.

6949958400 is a `hidden beast` number, since 69 + 499 + 58 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6949958399) and next prime (6949958401).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (6949958401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4434417 + ... + 4435983.

Almost surely, 2^6949958400 is an apocalyptic number.

6949958400 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 6949958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499341312).

6949958400 is an abundant number, since it is smaller than the sum of its proper divisors (24048724224).

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

6949958400 is a wasteful number, since it uses less digits than its factorization.

6949958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6949958400 is about 83366.4105020721. The cubic root of 6949958400 is about 1908.3618896121.

The spelling of 6949958400 in words is "six billion, nine hundred forty-nine million, nine hundred fifty-eight thousand, four hundred".