7139966400 has 504 divisors, whose sum is σ = 30286238640. Its totient is φ = 1631508480.

The previous prime is 7139966389. The next prime is 7139966419. The reversal of 7139966400 is 46699317.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2115114 + ... + 2118486.

Almost surely, 2^7139966400 is an apocalyptic number.

7139966400 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 7139966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143119320).

7139966400 is an abundant number, since it is smaller than the sum of its proper divisors (23146272240).

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

7139966400 is a wasteful number, since it uses less digits than its factorization.

7139966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 7139966400 is about 84498.3218768278. The cubic root of 7139966400 is about 1925.5969498507.

The spelling of 7139966400 in words is "seven billion, one hundred thirty-nine million, nine hundred sixty-six thousand, four hundred".