5370980400 has 420 divisors, whose sum is σ = 19637773608. Its totient is φ = 1410877440.

The previous prime is 5370980393. The next prime is 5370980431. The reversal of 5370980400 is 40890735.

5370980400 is a `hidden beast` number, since 537 + 0 + 9 + 80 + 40 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 32950719 + ... + 32950881.

Almost surely, 2^5370980400 is an apocalyptic number.

5370980400 is a gapful number since it is divisible by the number (50) 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 5370980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9818886804).

5370980400 is an abundant number, since it is smaller than the sum of its proper divisors (14266793208).

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

5370980400 is a wasteful number, since it uses less digits than its factorization.

5370980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5370980400 is about 73286.9729215227. The cubic root of 5370980400 is about 1751.2622621099.

The spelling of 5370980400 in words is "five billion, three hundred seventy million, nine hundred eighty thousand, four hundred".