7646675400 has 1296 divisors, whose sum is σ = 35311021200. Its totient is φ = 1528450560.

The previous prime is 7646675383. The next prime is 7646675417. The reversal of 7646675400 is 45766467.

It is a happy number.

7646675400 is a `hidden beast` number, since 7 + 6 + 46 + 67 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7646675383) and next prime (7646675417).

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 402456591 + ... + 402456609.

Almost surely, 2^7646675400 is an apocalyptic number.

7646675400 is a gapful number since it is divisible by the number (70) 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 7646675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655510600).

7646675400 is an abundant number, since it is smaller than the sum of its proper divisors (27664345800).

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

7646675400 is a wasteful number, since it uses less digits than its factorization.

7646675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7646675400 is about 87445.2708841364. The cubic root of 7646675400 is about 1970.1118577350. Note that the first 3 decimals are identical.

The spelling of 7646675400 in words is "seven billion, six hundred forty-six million, six hundred seventy-five thousand, four hundred".