546416640000 has 2025 divisors, whose sum is σ = 2522072483931. Its totient is φ = 113541120000.

The previous prime is 546416639983. The next prime is 546416640017. The reversal of 546416640000 is 46614645.

The square root of 546416640000 is 739200.

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

546416640000 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 1 + 6 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (546416639983) and next prime (546416640017).

It can be written as a sum of positive squares in 2 ways, for example, as 42839064576 + 503577575424 = 206976^2 + 709632^2 .

It is a super-2 number, since 2×546416640000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 49674239995 + ... + 49674240005.

Almost surely, 2^546416640000 is an apocalyptic number.

546416640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

546416640000 is the 739200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546416640000

546416640000 is an abundant number, since it is smaller than the sum of its proper divisors (1975655843931).

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

546416640000 is an equidigital number, since it uses as much as digits as its factorization.

546416640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 546416640000 by its sum of digits (36), we get a square (19670999040000 = 4435200²).

546416640000 divided by its sum of digits (36) gives a square (15178240000 = 123200²).

The spelling of 546416640000 in words is "five hundred forty-six billion, four hundred sixteen million, six hundred forty thousand".