7146770400 has 576 divisors, whose sum is σ = 32232936960. Its totient is φ = 1484697600.

The previous prime is 7146770387. The next prime is 7146770413. The reversal of 7146770400 is 40776417.

It is an interprime number because it is at equal distance from previous prime (7146770387) and next prime (7146770413).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1661052 + ... + 1665348.

It is an arithmetic number, because the mean of its divisors is an integer number (55959960).

Almost surely, 2^7146770400 is an apocalyptic number.

7146770400 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 7146770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116468480).

7146770400 is an abundant number, since it is smaller than the sum of its proper divisors (25086166560).

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

7146770400 is a wasteful number, since it uses less digits than its factorization.

7146770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7146770400 is about 84538.5734443159. The cubic root of 7146770400 is about 1926.2084187456.

The spelling of 7146770400 in words is "seven billion, one hundred forty-six million, seven hundred seventy thousand, four hundred".