4651461360 has 720 divisors, whose sum is σ = 19937009664. Its totient is φ = 951035904.

The previous prime is 4651461343. The next prime is 4651461407. The reversal of 4651461360 is 631641564.

It is a happy number.

4651461360 is a `hidden beast` number, since 4 + 6 + 514 + 6 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36625617 + ... + 36625743.

Almost surely, 2^4651461360 is an apocalyptic number.

4651461360 is a gapful number since it is divisible by the number (40) 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 4651461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968504832).

4651461360 is an abundant number, since it is smaller than the sum of its proper divisors (15285548304).

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

4651461360 is a wasteful number, since it uses less digits than its factorization.

4651461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4651461360 is about 68201.6228545920. The cubic root of 4651461360 is about 1669.2823670305.

The spelling of 4651461360 in words is "four billion, six hundred fifty-one million, four hundred sixty-one thousand, three hundred sixty".