6962388642 has 192 divisors, whose sum is σ = 18048844800. Its totient is φ = 1984435200.

The previous prime is 6962388617. The next prime is 6962388649. The reversal of 6962388642 is 2468832696.

6962388642 is a `hidden beast` number, since 6 + 9 + 623 + 8 + 8 + 6 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6962388649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7494034 + ... + 7494962.

It is an arithmetic number, because the mean of its divisors is an integer number (94004400).

Almost surely, 2^6962388642 is an apocalyptic number.

6962388642 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6962388642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024422400).

6962388642 is an abundant number, since it is smaller than the sum of its proper divisors (11086456158).

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

6962388642 is a wasteful number, since it uses less digits than its factorization.

6962388642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 6962388642 is about 83440.9290576273. The cubic root of 6962388642 is about 1909.4989358407.

The spelling of 6962388642 in words is "six billion, nine hundred sixty-two million, three hundred eighty-eight thousand, six hundred forty-two".