6412761400 has 48 divisors (see below), whose sum is σ = 14917014000. Its totient is φ = 2563841280.

The previous prime is 6412761391. The next prime is 6412761409. The reversal of 6412761400 is 41672146.

It is an interprime number because it is at equal distance from previous prime (6412761391) and next prime (6412761409).

It is a super-2 number, since 2×6412761400² = 82247017546659920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412761409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471901 + ... + 485299.

It is an arithmetic number, because the mean of its divisors is an integer number (310771125).

Almost surely, 2^6412761400 is an apocalyptic number.

It is an amenable number.

6412761400 is an abundant number, since it is smaller than the sum of its proper divisors (8504252600).

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

6412761400 is a wasteful number, since it uses less digits than its factorization.

6412761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15808 (or 15799 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6412761400 is about 80079.7190304761. The cubic root of 6412761400 is about 1857.8687385617.

The spelling of 6412761400 in words is "six billion, four hundred twelve million, seven hundred sixty-one thousand, four hundred".