7606670400 has 1008 divisors, whose sum is σ = 34315017984. Its totient is φ = 1557135360.

The previous prime is 7606670381. The next prime is 7606670431. The reversal of 7606670400 is 40766067.

7606670400 is a `hidden beast` number, since 7 + 606 + 6 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×7606670400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39412704 + ... + 39412896.

Almost surely, 2^7606670400 is an apocalyptic number.

7606670400 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 7606670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157508992).

7606670400 is an abundant number, since it is smaller than the sum of its proper divisors (26708347584).

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

7606670400 is a wasteful number, since it uses less digits than its factorization.

7606670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7606670400 is about 87216.2278478036. The cubic root of 7606670400 is about 1966.6701803378.

The spelling of 7606670400 in words is "seven billion, six hundred six million, six hundred seventy thousand, four hundred".