5464029312 has 320 divisors, whose sum is σ = 18838828800. Its totient is φ = 1539772416.

The previous prime is 5464029301. The next prime is 5464029323. The reversal of 5464029312 is 2139204645.

It is a happy number.

5464029312 is a `hidden beast` number, since 5 + 4 + 640 + 2 + 9 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5464029301) and next prime (5464029323).

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 39 ways as a sum of consecutive naturals, for example, 5733028 + ... + 5733980.

It is an arithmetic number, because the mean of its divisors is an integer number (58871340).

Almost surely, 2^5464029312 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 5464029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419414400).

5464029312 is an abundant number, since it is smaller than the sum of its proper divisors (13374799488).

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

5464029312 is an equidigital number, since it uses as much as digits as its factorization.

5464029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1044 counting only the distinct ones).

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

The square root of 5464029312 is about 73919.0727214567. The cubic root of 5464029312 is about 1761.3175946258.

The spelling of 5464029312 in words is "five billion, four hundred sixty-four million, twenty-nine thousand, three hundred twelve".