7343472864 has 384 divisors, whose sum is σ = 25348764672. Its totient is φ = 1806336000.

The previous prime is 7343472863. The next prime is 7343472889. The reversal of 7343472864 is 4682743437.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7343472863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29256739 + ... + 29256989.

It is an arithmetic number, because the mean of its divisors is an integer number (66012408).

Almost surely, 2^7343472864 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 7343472864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674382336).

7343472864 is an abundant number, since it is smaller than the sum of its proper divisors (18005291808).

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

7343472864 is a wasteful number, since it uses less digits than its factorization.

7343472864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The square root of 7343472864 is about 85694.0655121462. The cubic root of 7343472864 is about 1943.7205732265.

The spelling of 7343472864 in words is "seven billion, three hundred forty-three million, four hundred seventy-two thousand, eight hundred sixty-four".