7049753460 has 384 divisors, whose sum is σ = 24498754560. Its totient is φ = 1673920512.

The previous prime is 7049753441. The next prime is 7049753471. The reversal of 7049753460 is 643579407.

7049753460 is a `hidden beast` number, since 70 + 49 + 7 + 534 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 36527124 + ... + 36527316.

It is an arithmetic number, because the mean of its divisors is an integer number (63798840).

Almost surely, 2^7049753460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7049753460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249377280).

7049753460 is an abundant number, since it is smaller than the sum of its proper divisors (17449001100).

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

7049753460 is a wasteful number, since it uses less digits than its factorization.

7049753460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7049753460 is about 83962.8099815627. The cubic root of 7049753460 is about 1917.4526276113.

The spelling of 7049753460 in words is "seven billion, forty-nine million, seven hundred fifty-three thousand, four hundred sixty".