7047986400 has 864 divisors, whose sum is σ = 31665973248. Its totient is φ = 1434931200.

The previous prime is 7047986399. The next prime is 7047986401. The reversal of 7047986400 is 46897407.

It is an interprime number because it is at equal distance from previous prime (7047986399) and next prime (7047986401).

It is a super-2 number, since 2×7047986400² = 99348224589169920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7047986401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20311027 + ... + 20311373.

It is an arithmetic number, because the mean of its divisors is an integer number (36650432).

Almost surely, 2^7047986400 is an apocalyptic number.

7047986400 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 7047986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832986624).

7047986400 is an abundant number, since it is smaller than the sum of its proper divisors (24617986848).

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

7047986400 is a wasteful number, since it uses less digits than its factorization.

7047986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7047986400 is about 83952.2864489110. The cubic root of 7047986400 is about 1917.2924074942.

The spelling of 7047986400 in words is "seven billion, forty-seven million, nine hundred eighty-six thousand, four hundred".