62465004900 has 135 divisors (see below), whose sum is σ = 202559810299. Its totient is φ = 16651336320.

The previous prime is 62465004893. The next prime is 62465004967. The reversal of 62465004900 is 940056426.

The square root of 62465004900 is 249930.

It is a perfect power (a square), and thus also a powerful number.

62465004900 is a `hidden beast` number, since 62 + 4 + 6 + 500 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15528648996 + 46936355904 = 124614^2 + 216648^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22492312 + ... + 22495088.

Almost surely, 2^62465004900 is an apocalyptic number.

62465004900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

62465004900 is the 249930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62465004900

62465004900 is an abundant number, since it is smaller than the sum of its proper divisors (140094805399).

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

62465004900 is an equidigital number, since it uses as much as digits as its factorization.

62465004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 2787 counting only the distinct ones).

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

Multiplying 62465004900 by its sum of digits (36), we get a square (2248740176400 = 1499580²).

62465004900 divided by its sum of digits (36) gives a square (1735139025 = 41655²).

The spelling of 62465004900 in words is "sixty-two billion, four hundred sixty-five million, four thousand, nine hundred".